 2.2.1: Plot the points , , , , , and on a coordinate plane.
 2.2.2: Plot the points , , , , and on a coordinate plane. Draw the line se...
 2.2.3: Plot the points , , , , and . Describe the set of all points of the...
 2.2.4: Plot the points , , , , and . Describe the set of all points of the...
 2.2.5: Find the coordinates of the points AF.
 2.2.6: Find the coordinates of the points AF.
 2.2.7: Describe the set of all points in a coordinate plane that satisfy t...
 2.2.8: Describe the set of all points in a coordinate plane that satisfy t...
 2.2.9: (a) Find the distance between A and B. (b) Find the midpoint of the...
 2.2.10: (a) Find the distance between A and B. (b) Find the midpoint of the...
 2.2.11: (a) Find the distance between A and B. (b) Find the midpoint of the...
 2.2.12: (a) Find the distance between A and B. (b) Find the midpoint of the...
 2.2.13: (a) Find the distance between A and B. (b) Find the midpoint of the...
 2.2.14: (a) Find the distance between A and B. (b) Find the midpoint of the...
 2.2.15: Show that the triangle with vertices A, B, and C is a right triangl...
 2.2.16: Show that the triangle with vertices A, B, and C is a right triangl...
 2.2.17: Show that , , , and are vertices of a square.
 2.2.18: Show that , , , and are vertices of a parallelogram.
 2.2.19: Given , find the coordinates of the point B such that is the midpoi...
 2.2.20: Given and , find the point on segment AB that is threefourths of t...
 2.2.21: Prove that C is on the perpendicular bisector of segment AB.
 2.2.22: Prove that C is on the perpendicular bisector of segment AB.
 2.2.23: Find a formula that expresses the fact that an arbitrary point is o...
 2.2.24: Find a formula that expresses the fact that an arbitrary point is o...
 2.2.25: Find a formula that expresses the fact that is a distance 5 from th...
 2.2.26: Find a formula that states that is a distance from a fixed point . ...
 2.2.27: Find all points on the yaxis that are a distance 6 from
 2.2.28: Find all points on the xaxis that are a distance 5 from
 2.2.29: Find the point with coordinates of the form that is in the third qu...
 2.2.30: Find all points with coordinates of the form that are a distance 3 ...
 2.2.31: For what values of a is the distance between and greater than
 2.2.32: Given and , find a formula not containing radicals that expresses t...
 2.2.33: Prove that the midpoint of the hypotenuse of any right triangle is ...
 2.2.34: Prove that the diagonals of any parallelogram bisect each other. (H...
 2.2.35: Plot the points in the given viewing rectangle.
 2.2.36: Plot the points in the given viewing rectangle.
 2.2.37: Households with a computer The table lists the number of U.S. house...
 2.2.38: Published newspapers The table lists the number of daily newspapers...
 2.2.2.1: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.2: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.3: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.4: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.5: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.6: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.7: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.8: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.9: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.10: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.11: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.12: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.13: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.14: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.15: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.16: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.17: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.18: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.19: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.20: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.2.21: Use tests for symmetry to determine which graphs in the indicated e...
 2.2.2.22: Use tests for symmetry to determine which graphs in the indicated e...
 2.2.2.23: Complete the statements. (a) As x 1, f(x) ____(b) As x 2, f(x) ____...
 2.2.2.24: Complete the statements. (a) As x 2, f(x) ____ (b) As x 1, f(x) ___...
 2.2.2.25: Sketch the graph of the circle or semicircle.
 2.2.2.26: Sketch the graph of the circle or semicircle.
 2.2.2.27: Sketch the graph of the circle or semicircle.
 2.2.2.28: Sketch the graph of the circle or semicircle.
 2.2.2.29: Sketch the graph of the circle or semicircle.
 2.2.2.30: Sketch the graph of the circle or semicircle.
 2.2.2.31: Sketch the graph of the circle or semicircle.
 2.2.2.32: Sketch the graph of the circle or semicircle.
 2.2.2.33: Sketch the graph of the circle or semicircle.
 2.2.2.34: Sketch the graph of the circle or semicircle.
 2.2.2.35: Sketch the graph of the circle or semicircle.
 2.2.2.36: Sketch the graph of the circle or semicircle.
 2.2.2.37: Find an equation of the circle that satisfies the stated conditions...
 2.2.2.38: Find an equation of the circle that satisfies the stated conditions...
 2.2.2.39: Find an equation of the circle that satisfies the stated conditions...
 2.2.2.40: Find an equation of the circle that satisfies the stated conditions...
 2.2.2.41: Find an equation of the circle that satisfies the stated conditions...
 2.2.2.42: Find an equation of the circle that satisfies the stated conditions...
 2.2.2.43: Find an equation of the circle that satisfies the stated conditions...
 2.2.2.44: Find an equation of the circle that satisfies the stated conditions...
 2.2.2.45: Find an equation of the circle that satisfies the stated conditions...
 2.2.2.46: Find an equation of the circle that satisfies the stated conditions...
 2.2.2.47: Find an equation of the circle that satisfies the stated conditions...
 2.2.2.48: Find an equation of the circle that satisfies the stated conditions...
 2.2.2.49: Find the center and radius of the circle with the given equation.
 2.2.2.50: Find the center and radius of the circle with the given equation.
 2.2.2.51: Find the center and radius of the circle with the given equation.
 2.2.2.52: Find the center and radius of the circle with the given equation.
 2.2.2.53: Find the center and radius of the circle with the given equation.
 2.2.2.54: Find the center and radius of the circle with the given equation.
 2.2.2.55: Find the center and radius of the circle with the given equation.
 2.2.2.56: Find the center and radius of the circle with the given equation.
 2.2.2.57: Find the center and radius of the circle with the given equation.
 2.2.2.58: Find the center and radius of the circle with the given equation.
 2.2.2.59: Find equations for the upper half, lower half, right half, and left...
 2.2.2.60: Find equations for the upper half, lower half, right half, and left...
 2.2.2.61: Find equations for the upper half, lower half, right half, and left...
 2.2.2.62: Find equations for the upper half, lower half, right half, and left...
 2.2.2.63: Find an equation for the circle or semicircle.
 2.2.2.64: Find an equation for the circle or semicircle.
 2.2.2.65: Find an equation for the circle or semicircle.
 2.2.2.66: Find an equation for the circle or semicircle.
 2.2.2.67: Determine whether the point P is inside, outside, or on the circle ...
 2.2.2.68: Determine whether the point P is inside, outside, or on the circle ...
 2.2.2.69: For the given circle, find (a) the xintercepts and (b) the yinter...
 2.2.2.70: For the given circle, find (a) the xintercepts and (b) the yinter...
 2.2.2.71: Find an equation of the circle that is concentric (has the same cen...
 2.2.2.72: Radio broadcasting ranges The signal from a radio station has a cir...
 2.2.2.73: A circle of radius 5 has its center at the origin. Inside this circ...
 2.2.2.74: A circle of radius 5 has its center at the origin. Outside this cir...
 2.2.2.75: Express, in interval form, the xvalues such that . Assume all poin...
 2.2.2.76: Express, in interval form, the xvalues such that . Assume all poin...
 2.2.2.77: Express, in interval form, the xvalues such that . Assume all poin...
 2.2.2.78: Express, in interval form, the xvalues such that . Assume all poin...
 2.2.2.79: Graph the unit circle using the equations and in the given viewing ...
 2.2.2.80: Graph the equation , using the equations and in the viewing rectang...
 2.2.2.81: Graph the equation, and estimate the xintercepts.
 2.2.2.82: Graph the equation, and estimate the xintercepts.
 2.2.2.83: Graph the two equations on the same coordinate plane, and estimate ...
 2.2.2.84: Graph the two equations on the same coordinate plane, and estimate ...
 2.2.2.85: Graph the two equations on the same coordinate plane, and estimate ...
 2.2.2.86: Graph the two equations on the same coordinate plane, and estimate ...
 2.2.2.87: Distance between cars The distance D (in miles) between two cars me...
 2.2.2.88: Water in a pool The amount of water A in a swimming pool on day x i...
 2.2.2.89: Speed of sound The speed of sound v in air varies with temperature....
 2.2.2.90: The area A of an equilateral triangle with a side of length sis . S...
 2.2.3.1: Sketch the line through A and B, and find its slope m.
 2.2.3.2: Sketch the line through A and B, and find its slope m.
 2.2.3.3: Sketch the line through A and B, and find its slope m.
 2.2.3.4: Sketch the line through A and B, and find its slope m.
 2.2.3.5: Sketch the line through A and B, and find its slope m.
 2.2.3.6: Sketch the line through A and B, and find its slope m.
 2.2.3.7: Use slopes to show that the points are vertices of the specified po...
 2.2.3.8: Use slopes to show that the points are vertices of the specified po...
 2.2.3.9: Use slopes to show that the points are vertices of the specified po...
 2.2.3.10: Use slopes to show that the points are vertices of the specified po...
 2.2.3.11: If three consecutive vertices of a parallelogram are , , and , find...
 2.2.3.12: Let , , , and denote the vertices of an arbitrary quadrilateral. Sh...
 2.2.3.13: Sketch the graph of for the given values of m.
 2.2.3.14: Sketch the graph of for the given values of m.
 2.2.3.15: Sketch the graph of the line through P for each value of m.
 2.2.3.16: Sketch the graph of the line through P for each value of m.
 2.2.3.17: Write equations of the lines.
 2.2.3.18: Write equations of the lines.
 2.2.3.19: Sketch the graphs of the lines on the same coordinate plane.
 2.2.3.20: Sketch the graphs of the lines on the same coordinate plane.
 2.2.3.21: Find a general form of an equation of the line through the point A ...
 2.2.3.22: Find a general form of an equation of the line through the point A ...
 2.2.3.23: Find a general form of an equation of the line through the point A ...
 2.2.3.24: Find a general form of an equation of the line through the point A ...
 2.2.3.25: Find a general form of an equation of the line through the point A ...
 2.2.3.26: Find a general form of an equation of the line through the point A ...
 2.2.3.27: Find a general form of an equation of the line through the point A ...
 2.2.3.28: Find a general form of an equation of the line through the point A ...
 2.2.3.29: Find a general form of an equation of the line through the point A ...
 2.2.3.30: Find a general form of an equation of the line through the point A ...
 2.2.3.31: Find a general form of an equation of the line through the point A ...
 2.2.3.32: Find a general form of an equation of the line through the point A ...
 2.2.3.33: Find the slopeintercept form of the line that satisfies the given ...
 2.2.3.34: Find the slopeintercept form of the line that satisfies the given ...
 2.2.3.35: Find the slopeintercept form of the line that satisfies the given ...
 2.2.3.36: Find the slopeintercept form of the line that satisfies the given ...
 2.2.3.37: Find a general form of an equation for the perpendicular bisector o...
 2.2.3.38: Find a general form of an equation for the perpendicular bisector o...
 2.2.3.39: Find an equation for the line that bisects the given quadrants. II ...
 2.2.3.40: Find an equation for the line that bisects the given quadrants. I a...
 2.2.3.41: Use the slopeintercept form to find the slope and yintercept of t...
 2.2.3.42: Use the slopeintercept form to find the slope and yintercept of t...
 2.2.3.43: Use the slopeintercept form to find the slope and yintercept of t...
 2.2.3.44: Use the slopeintercept form to find the slope and yintercept of t...
 2.2.3.45: Find an equation of the line shown in the figure.
 2.2.3.46: Find an equation of the line shown in the figure.
 2.2.3.47: If a line l has nonzero x and yintercepts a and b, respectively, ...
 2.2.3.48: If a line l has nonzero x and yintercepts a and b, respectively, ...
 2.2.3.49: Find an equation of the circle that has center and is tangent to th...
 2.2.3.50: Find an equation of the line that is tangent to the circle at the p...
 2.2.3.51: Fetal growth The growth of a fetus more than 12 weeks old can be ap...
 2.2.3.52: Estimating salinity Salinity of the ocean refers to the amount of d...
 2.2.3.53: Weight of a humpback whale The expected weight W (in tons) of a hum...
 2.2.3.54: Growth of a blue whale Newborn blue whales are approximately 24 fee...
 2.2.3.55: Baseball stats Suppose a major league baseball player has hit 5 hom...
 2.2.3.56: Cheese production A cheese manufacturer produces 18,000 pounds of c...
 2.2.3.57: Childhood weight A baby weighs 10 pounds at birth, and three years ...
 2.2.3.58: Loan repayment A college student receives an interestfree loan of $...
 2.2.3.59: Vaporizing water The amount of heat H (in joules) required to conve...
 2.2.3.60: Aerobic power In exercise physiology, aerobic power P is defined in...
 2.2.3.61: Urban heat island The urban heat island phenomenon has been observe...
 2.2.3.62: Rising ground temperature In 1870 the average ground temperature in...
 2.2.3.63: Business expenses The owner of an ice cream franchise must pay the ...
 2.2.3.64: Drug dosage Pharmacological products must specify recommended dosag...
 2.2.3.65: Video game In the video game shown in the figure, an airplane flies...
 2.2.3.66: Temperature scales The relationship between the temperature reading...
 2.2.3.67: Vertical wind shear Vertical wind shear occurs when wind speed vari...
 2.2.3.68: Vertical wind shear In the study of vertical wind shear, the formul...
 2.2.3.69: The given points were found using empirical methods. Determine whet...
 2.2.3.70: The given points were found using empirical methods. Determine whet...
 2.2.3.71: Graph the lines on the same coordinate plane, and find the coordina...
 2.2.3.72: Graph the lines on the same coordinate plane, and find the coordina...
 2.2.3.73: Graph the lines on the same coordinate plane, and estimate the coor...
 2.2.3.74: Graph the lines on the same coordinate plane, and estimate the coor...
 2.2.3.75: For the data table, determine a line in the form that approximately...
 2.2.3.76: For the data table, determine a line in the form that approximately...
 2.2.3.77: Record distances in the triple jump World record distances (in mete...
 2.2.3.78: Record times in the mile World record times (in seconds) for the mi...
 2.2.4.1: If , find
 2.2.4.2: If , find
 2.2.4.3: If , find , , a
 2.2.4.4: If , find , , and . f3
 2.2.4.5: If a and h are real numbers, find(a) (b) (c) (d)(e) (f) if
 2.2.4.6: If a and h are real numbers, find(a) (b) (c) (d)(e) (f) if
 2.2.4.7: If a and h are real numbers, find(a) (b) (c) (d)(e) (f) if
 2.2.4.8: If a and h are real numbers, find(a) (b) (c) (d)(e) (f) if
 2.2.4.9: If a and h are real numbers, find(a) (b) (c) (d)(e) (f) if
 2.2.4.10: If a and h are real numbers, find(a) (b) (c) (d)(e) (f) if
 2.2.4.11: If a is a positive real number, find(a) (b) (c) (d)
 2.2.4.12: If a is a positive real number, find(a) (b) (c) (d)
 2.2.4.13: If a is a positive real number, find(a) (b) (c) (d)
 2.2.4.14: If a is a positive real number, find(a) (b) (c) (d)
 2.2.4.15: Explain why the graph is or is not the graph of a function.
 2.2.4.16: Explain why the graph is or is not the graph of a function.
 2.2.4.17: Determine the domain D and range R of the function shown in the fig...
 2.2.4.18: Determine the domain D and range R of the function shown in the fig...
 2.2.4.19: For the graph of the function f sketched in the figure, determine(a...
 2.2.4.20: For the graph of the function f sketched in the figure, determine(a...
 2.2.4.21: Find the domain of f.
 2.2.4.22: Find the domain of f.
 2.2.4.23: Find the domain of f.
 2.2.4.24: Find the domain of f.
 2.2.4.25: Find the domain of f.
 2.2.4.26: Find the domain of f.
 2.2.4.27: Find the domain of f.
 2.2.4.28: Find the domain of f.
 2.2.4.29: Find the domain of f.
 2.2.4.30: Find the domain of f.
 2.2.4.31: Find the domain of f.
 2.2.4.32: Find the domain of f.
 2.2.4.33: (a) Find the domain D and range R of f. (b) Find the intervals on w...
 2.2.4.34: (a) Find the domain D and range R of f. (b) Find the intervals on w...
 2.2.4.35: Sketch the graph of a function that is increasing on and and is dec...
 2.2.4.36: Sketch the graph of a function that is decreasing on and and is inc...
 2.2.4.37: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.4.38: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.4.39: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.4.40: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.4.41: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.4.42: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.4.43: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.4.44: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.4.45: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.4.46: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.4.47: Simplify the difference quotientif .
 2.2.4.48: Simplify the difference quotientif .
 2.2.4.49: Simplify the difference quotientif .
 2.2.4.50: Simplify the difference quotientif .
 2.2.4.51: Simplify the difference quotient if .
 2.2.4.52: Simplify the difference quotient if .
 2.2.4.53: If a linear function f satisfies the given conditions, find
 2.2.4.54: If a linear function f satisfies the given conditions, find
 2.2.4.55: Determine whether the set W of ordered pairs is a function in the s...
 2.2.4.56: Determine whether the set W of ordered pairs is a function in the s...
 2.2.4.57: Determine whether the set W of ordered pairs is a function in the s...
 2.2.4.58: Determine whether the set W of ordered pairs is a function in the s...
 2.2.4.59: Determine whether the set W of ordered pairs is a function in the s...
 2.2.4.60: Determine whether the set W of ordered pairs is a function in the s...
 2.2.4.61: Determine whether the set W of ordered pairs is a function in the s...
 2.2.4.62: Determine whether the set W of ordered pairs is a function in the s...
 2.2.4.63: Determine whether the set W of ordered pairs is a function in the s...
 2.2.4.64: Determine whether the set W of ordered pairs is a function in the s...
 2.2.4.65: Constructing a box From a rectangular piece of cardboard having dim...
 2.2.4.66: Constructing a storage tank Refer to Example 8. A steel storage tan...
 2.2.4.67: Dimensions of a building A small office unit is to contain 500 of f...
 2.2.4.68: Dimensions of an aquarium An aquarium of height 1.5 feet is to have...
 2.2.4.69: Skyline ordinance A city council is proposing a new skyline ordinan...
 2.2.4.70: Energy tax A proposed energy tax T on gasoline, which would affect ...
 2.2.4.71: Childhood growth For children between ages 6 and 10, height y (in i...
 2.2.4.72: Radioactive contamination It has been estimated that 1000 curies of...
 2.2.4.73: Distance to a hotair balloon A hotair balloon is released at 1:00...
 2.2.4.74: Triangle ABC is inscribed in a semicircle of diameter 15 (see the f...
 2.2.4.75: Distance to Earth From an exterior point P that is h units from a c...
 2.2.4.76: Length of a tightrope The figure illustrates the apparatus for a ti...
 2.2.4.77: Airport runway The relative positions of an aircraft runway and a 2...
 2.2.4.78: Destination time A man in a rowboat that is 2 miles from the neares...
 2.2.4.79: (a) Sketch the graph of f on the given interval [a, b]. (b) Estimat...
 2.2.4.80: (a) Sketch the graph of f on the given interval [a, b]. (b) Estimat...
 2.2.4.81: (a) Sketch the graph of f on the given interval [a, b]. (b) Estimat...
 2.2.4.82: (a) Sketch the graph of f on the given interval [a, b]. (b) Estimat...
 2.2.4.83: In Exercises 4344 of Section 1.4, algebraic methods were used to fi...
 2.2.4.84: In Exercises 4344 of Section 1.4, algebraic methods were used to fi...
 2.2.4.85: Calculator screen A particular graphing calculator screen is 95 pix...
 2.2.4.86: Stopping distances The table lists the practical stopping distances...
 2.2.4.87: New car prices In 1993 and 2000, the average prices paid for a new ...
 2.2.5.1: Suppose f is an even function and g is an odd function. Complete th...
 2.2.5.2: Suppose f is an even function and g is an odd function. Complete th...
 2.2.5.3: Determine whether f is even, odd, or neither even nor odd.
 2.2.5.4: Determine whether f is even, odd, or neither even nor odd.
 2.2.5.5: Determine whether f is even, odd, or neither even nor odd.
 2.2.5.6: Determine whether f is even, odd, or neither even nor odd.
 2.2.5.7: Determine whether f is even, odd, or neither even nor odd.
 2.2.5.8: Determine whether f is even, odd, or neither even nor odd.
 2.2.5.9: Determine whether f is even, odd, or neither even nor odd.
 2.2.5.10: Determine whether f is even, odd, or neither even nor odd.
 2.2.5.11: Determine whether f is even, odd, or neither even nor odd.
 2.2.5.12: Determine whether f is even, odd, or neither even nor odd.
 2.2.5.13: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.14: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.15: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.16: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.17: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.18: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.19: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.20: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.21: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.22: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.23: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.24: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.25: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.26: Sketch, on the same coordinate plane, the graphs of f for the given...
 2.2.5.27: If the point P is on the graph of a function f, find the correspond...
 2.2.5.28: If the point P is on the graph of a function f, find the correspond...
 2.2.5.29: If the point P is on the graph of a function f, find the correspond...
 2.2.5.30: If the point P is on the graph of a function f, find the correspond...
 2.2.5.31: If the point P is on the graph of a function f, find the correspond...
 2.2.5.32: If the point P is on the graph of a function f, find the correspond...
 2.2.5.33: Explain how the graph of the function compares to the graph of . Fo...
 2.2.5.34: Explain how the graph of the function compares to the graph of . Fo...
 2.2.5.35: Explain how the graph of the function compares to the graph of . Fo...
 2.2.5.36: Explain how the graph of the function compares to the graph of . Fo...
 2.2.5.37: Explain how the graph of the function compares to the graph of . Fo...
 2.2.5.38: Explain how the graph of the function compares to the graph of . Fo...
 2.2.5.39: Explain how the graph of the function compares to the graph of . Fo...
 2.2.5.40: Explain how the graph of the function compares to the graph of . Fo...
 2.2.5.41: The graph of a function f with domain is shown in the figure. Sketc...
 2.2.5.42: The graph of a function f with domain is shown in the figure. Sketc...
 2.2.5.43: The graph of a function f is shown, together with graphs of three o...
 2.2.5.44: The graph of a function f is shown, together with graphs of three o...
 2.2.5.45: The graph of a function f is shown, together with graphs of three o...
 2.2.5.46: The graph of a function f is shown, together with graphs of three o...
 2.2.5.47: Sketch the graph of
 2.2.5.48: Sketch the graph of
 2.2.5.49: Sketch the graph of
 2.2.5.50: Sketch the graph of
 2.2.5.51: Sketch the graph of
 2.2.5.52: Sketch the graph of
 2.2.5.53: The symbol denotes values of the greatest integer function. Sketch ...
 2.2.5.54: The symbol denotes values of the greatest integer function. Sketch ...
 2.2.5.55: Complete the statements.
 2.2.5.56: Complete the statements.
 2.2.5.57: Explain why the graph of the equation is not the graph of a function.
 2.2.5.58: Explain why the graph of the equation is not the graph of a function.
 2.2.5.59: For the graph of shown in the figure, sketch the graph of .
 2.2.5.60: For the graph of shown in the figure, sketch the graph of .
 2.2.5.61: Sketch the graph of the equation.
 2.2.5.62: Sketch the graph of the equation.
 2.2.5.63: Sketch the graph of the equation.
 2.2.5.64: Sketch the graph of the equation.
 2.2.5.65: Let be a function with domain and range . Find the domain D and ran...
 2.2.5.66: Let be a function with domain and range . Find the domain D and ran...
 2.2.5.67: Income tax rates A certain country taxes the first $20,000 of an in...
 2.2.5.68: Property tax rates A certain state taxes the first $600,000 in prop...
 2.2.5.69: Royalty rates A certain paperback sells for $12. The author is paid...
 2.2.5.70: Electricity rates An electric company charges its customers $0.0577...
 2.2.5.71: Estimate the solutions of the inequality.
 2.2.5.72: Estimate the solutions of the inequality.
 2.2.5.73: Estimate the solutions of the inequality.
 2.2.5.74: Estimate the solutions of the inequality.
 2.2.5.75: Graph f in the viewing rectangle by . Use the graph of f to predict...
 2.2.5.76: Graph f in the viewing rectangle by . Use the graph of f to predict...
 2.2.5.77: Graph f in the viewing rectangle by . Use the graph of f to predict...
 2.2.5.78: Graph f in the viewing rectangle by . Use the graph of f to predict...
 2.2.5.79: Graph f in the viewing rectangle by . Use the graph of f to predict...
 2.2.5.80: Graph f in the viewing rectangle by . Use the graph of f to predict...
 2.2.5.81: Car rental charges There are two car rental options available for a...
 2.2.5.82: Traffic flow Cars are crossing a bridge that is 1 mile long. Each c...
 2.2.6.1: Find the standard equation of any parabola that has vertex V.
 2.2.6.2: Find the standard equation of any parabola that has vertex V.
 2.2.6.3: Find the standard equation of any parabola that has vertex V.
 2.2.6.4: Find the standard equation of any parabola that has vertex V.
 2.2.6.5: Express in the form
 2.2.6.6: Express in the form
 2.2.6.7: Express in the form
 2.2.6.8: Express in the form
 2.2.6.9: Express in the form
 2.2.6.10: Express in the form
 2.2.6.11: Express in the form
 2.2.6.12: Express in the form
 2.2.6.13: (a) Use the quadratic formula to find the zeros of f. (b) Find the ...
 2.2.6.14: (a) Use the quadratic formula to find the zeros of f. (b) Find the ...
 2.2.6.15: (a) Use the quadratic formula to find the zeros of f. (b) Find the ...
 2.2.6.16: (a) Use the quadratic formula to find the zeros of f. (b) Find the ...
 2.2.6.17: (a) Use the quadratic formula to find the zeros of f. (b) Find the ...
 2.2.6.18: (a) Use the quadratic formula to find the zeros of f. (b) Find the ...
 2.2.6.19: (a) Use the quadratic formula to find the zeros of f. (b) Find the ...
 2.2.6.20: (a) Use the quadratic formula to find the zeros of f. (b) Find the ...
 2.2.6.21: (a) Use the quadratic formula to find the zeros of f. (b) Find the ...
 2.2.6.22: (a) Use the quadratic formula to find the zeros of f. (b) Find the ...
 2.2.6.23: Find the standard equation of the parabola shown in the figure.
 2.2.6.24: Find the standard equation of the parabola shown in the figure.
 2.2.6.25: Find the standard equation of the parabola shown in the figure.
 2.2.6.26: Find the standard equation of the parabola shown in the figure.
 2.2.6.27: Find an equation of the form of the parabola shown in the figure.
 2.2.6.28: Find an equation of the form of the parabola shown in the figure.
 2.2.6.29: Find the standard equation of a parabola that has a vertical axis a...
 2.2.6.30: Find the standard equation of a parabola that has a vertical axis a...
 2.2.6.31: Find the standard equation of a parabola that has a vertical axis a...
 2.2.6.32: Find the standard equation of a parabola that has a vertical axis a...
 2.2.6.33: Find the standard equation of a parabola that has a vertical axis a...
 2.2.6.34: Find the standard equation of a parabola that has a vertical axis a...
 2.2.6.35: Find the maximum vertical distance d between the parabola and the l...
 2.2.6.36: Find the maximum vertical distance d between the parabola and the l...
 2.2.6.37: Ozone occurs at all levels of Earths atmosphere. The density of ozo...
 2.2.6.38: Ozone occurs at all levels of Earths atmosphere. The density of ozo...
 2.2.6.39: Infant growth rate The growth rate y (in pounds per month) of an in...
 2.2.6.40: Gasoline mileage The number of miles M that a certain automobile ca...
 2.2.6.41: Height of a projectile An object is projected vertically upward fro...
 2.2.6.42: Flight of a projectile An object is projected vertically upward wit...
 2.2.6.43: Find two positive real numbers whose sum is 40 and whose product is...
 2.2.6.44: Find two real numbers whose difference is 60 and whose product is a...
 2.2.6.45: Constructing cages One thousand feet of chainlink fence is to be u...
 2.2.6.46: Fencing a field A farmer wishes to put a fence around a rectangular...
 2.2.6.47: Leaping animals Flights of leaping animals typically have parabolic...
 2.2.6.48: The human cannonball In the 1940s, the human cannonball stunt was p...
 2.2.6.49: Shape of a suspension bridge One section of a suspension bridge has...
 2.2.6.50: Designing a highway Traffic engineers are designing a stretch of hi...
 2.2.6.51: Parabolic doorway A doorway has the shape of a parabolic arch and i...
 2.2.6.52: Path of a baseball Assume a baseball hit at home plate follows a pa...
 2.2.6.53: Quantity discount A company sells running shoes to dealers at a rat...
 2.2.6.54: Group discount A travel agency offers group tours at a rate of $60 ...
 2.2.6.55: Cable TV fee A cable television firm presently serves 8000 househol...
 2.2.6.56: Apartment rentals A real estate company owns 218 efficiency apartme...
 2.2.6.57: Graph and f on the same coordinate plane, and estimate the points o...
 2.2.6.58: Graph and f on the same coordinate plane, and estimate the points o...
 2.2.6.59: Graph, on the same coordinate plane, for , and 4, and describe how ...
 2.2.6.60: Graph, on the same coordinate plane, for , and , and describe how t...
 2.2.6.61: Precipitation in Seattle The average monthly precipitation (in inch...
 2.2.6.62: Handgun homicides The annual numbers of handgun homicides (in thous...
 2.2.6.63: Crest vertical curves When engineers plan highways, they must desig...
 2.2.6.64: Sag vertical curves Refer to Exercise 63. Valleys or dips in highwa...
 2.2.6.65: Parabolic path Under ideal conditions an object thrown from level g...
 2.2.7.1: Find(a) (b)(c) (d)
 2.2.7.2: Find(a) (b)(c) (d)
 2.2.7.3: Find(a) , , , and (b) the domain of , , and fg(c) the domain of
 2.2.7.4: Find(a) , , , and (b) the domain of , , and fg(c) the domain of
 2.2.7.5: Find(a) , , , and (b) the domain of , , and fg(c) the domain of
 2.2.7.6: Find(a) , , , and (b) the domain of , , and fg(c) the domain of
 2.2.7.7: Find(a) , , , and (b) the domain of , , and fg(c) the domain of
 2.2.7.8: Find(a) , , , and (b) the domain of , , and fg(c) the domain of
 2.2.7.9: Find(a) (b)(c) (d)
 2.2.7.10: Find(a) (b)(c) (d)
 2.2.7.11: Find(a) (b)(c) (d)
 2.2.7.12: Find(a) (b)(c) (d)
 2.2.7.13: Find(a) (b)(c) (d)
 2.2.7.14: Find(a) (b)(c) (d)
 2.2.7.15: Find(a) (b)(c) (d)
 2.2.7.16: Find(a) (b)(c) (d)
 2.2.7.17: Find(a) (b)(c) (d)
 2.2.7.18: Find(a) (b)(c) (d)
 2.2.7.19: Find(a) (b)(c) (d)
 2.2.7.20: Find(a) (b)(c) (d)
 2.2.7.21: Find (a) and the domain of and (b) and the domain of
 2.2.7.22: Find (a) and the domain of and (b) and the domain of
 2.2.7.23: Find (a) and the domain of and (b) and the domain of
 2.2.7.24: Find (a) and the domain of and (b) and the domain of
 2.2.7.25: Find (a) and the domain of and (b) and the domain of
 2.2.7.26: Find (a) and the domain of and (b) and the domain of
 2.2.7.27: Find (a) and the domain of and (b) and the domain of
 2.2.7.28: Find (a) and the domain of and (b) and the domain of
 2.2.7.29: Find (a) and the domain of and (b) and the domain of
 2.2.7.30: Find (a) and the domain of and (b) and the domain of
 2.2.7.31: Find (a) and the domain of and (b) and the domain of
 2.2.7.32: Find (a) and the domain of and (b) and the domain of
 2.2.7.33: Find (a) and the domain of and (b) and the domain of
 2.2.7.34: Find (a) and the domain of and (b) and the domain of
 2.2.7.35: Solve the equation .
 2.2.7.36: Solve the equation .
 2.2.7.37: Several values of two functions f and g are listed in the following...
 2.2.7.38: Several values of two functions T and S are listed in the following...
 2.2.7.39: If and , find
 2.2.7.40: If and , find
 2.2.7.41: If f is an odd function and g is an even function, is fg even, odd,...
 2.2.7.42: There is one function with domain that is both even and odd. Find t...
 2.2.7.43: Payroll functions Let the social security tax function SSTAX be def...
 2.2.7.44: Computer science functions Let the function CHR be defined by , . T...
 2.2.7.45: Spreading fire A fire has started in a dry open field and is spread...
 2.2.7.46: Dimensions of a balloon A spherical balloon is being inflated at a ...
 2.2.7.47: Dimensions of a sand pile The volume of a conical pile of sand is i...
 2.2.7.48: Diagonal of a cube The diagonal d of a cube is the distance between...
 2.2.7.49: Altitude of a balloon A hotair balloon rises vertically from groun...
 2.2.7.50: Tightrope walker Refer to Exercise 76 of Section 2.4. Starting at t...
 2.2.7.51: Airplane takeoff Refer to Exercise 77 of Section 2.4. When the air...
 2.2.7.52: Cable corrosion A 100footlong cable of diameter 4 inches is subme...
 2.2.7.53: Find a composite function form for y.
 2.2.7.54: Find a composite function form for y.
 2.2.7.55: Find a composite function form for y.
 2.2.7.56: Find a composite function form for y.
 2.2.7.57: Find a composite function form for y.
 2.2.7.58: Find a composite function form for y.
 2.2.7.59: Find a composite function form for y.
 2.2.7.60: Find a composite function form for y.
 2.2.7.61: If and , approximate . In order to avoid calculating a zero value f...
 2.2.7.62: If and , approximate
 2.2.7.63: Refer to Exercise 65 of Section 2.5. Make the assignments and . Det...
 2.2.7.64: Refer to Exercise 66 of Section 2.5. Make the assignments and . Det...
 2.2.8.1: Describe the set of all points in a coordinate plane such that
 2.2.8.2: Show that the triangle with vertices , , and is a right triangle, a...
 2.2.8.3: Given and , find (a) the distance (b) the midpoint of the segment P...
 2.2.8.4: Find all points on the yaxis that are a distance 13 from .
 2.2.8.5: For what values of a is the distance between and less than 3?
 2.2.8.6: Find an equation of the circle that has center and passes through
 2.2.8.7: Find an equation of the circle that has endpoints of a diameter and
 2.2.8.8: Find an equation for the left half of the circle given by .
 2.2.8.9: Find the slope of the line through and
 2.2.8.10: Show that , , , and are vertices of a trapezoid.
 2.2.8.11: Find an equation of the line through that is (a) parallel to the li...
 2.2.8.12: Express in slopeintercept form
 2.2.8.13: Find an equation of the circle that has center and is tangent to th...
 2.2.8.14: Find an equation of the line that has xintercept and passes throug...
 2.2.8.15: Find a general form of an equation of the line through with slope 4.
 2.2.8.16: Given and , find a general form of an equation for the perpendicula...
 2.2.8.17: Find the center and radius of the circle with the given equation. x...
 2.2.8.18: Find the center and radius of the circle with the given equation. 4...
 2.2.8.19: If , find(a) (b) (c) (d)(e) (f) (g)
 2.2.8.20: Find the sign of without actually finding .
 2.2.8.21: Find the sign of without actually finding .
 2.2.8.22: Find the domain and range of f if(a) (b)
 2.2.8.23: Find if h 0.
 2.2.8.24: Find if h 0.
 2.2.8.25: Find a linear function f such that and
 2.2.8.26: Determine whether f is even, odd, or neither even nor odd. (a) (b)(c)
 2.2.8.27: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.28: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.29: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.30: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.31: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.32: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.33: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.34: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.35: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.36: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.37: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.38: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.39: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.40: Sketch the graph of the equation, and label the x and yintercepts.
 2.2.8.41: Find the center of the small circle.
 2.2.8.42: Explain how the graph of compares to the graph of .
 2.2.8.43: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.8.44: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.8.45: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.8.46: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.8.47: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.8.48: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.8.49: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.8.50: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.8.51: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.8.52: (a) Sketch the graph of f. (b) Find the domain D and range R of f. ...
 2.2.8.53: Sketch the graphs of the following equations, making use of shiftin...
 2.2.8.54: The graph of a function f with domain is shown in the figure. Sketc...
 2.2.8.55: Find an equation for the graph shown in the figure.
 2.2.8.56: Find an equation for the graph shown in the figure.
 2.2.8.57: Find an equation for the graph shown in the figure.
 2.2.8.58: Find an equation for the graph shown in the figure.
 2.2.8.59: Find the maximum or minimum value of .
 2.2.8.60: Find the maximum or minimum value of .
 2.2.8.61: Find the maximum or minimum value of .
 2.2.8.62: Find the maximum or minimum value of .
 2.2.8.63: Express the function in the form .
 2.2.8.64: Find the standard equation of a parabola with a vertical axis that ...
 2.2.8.65: If and , find the domain of (a) fg (b)
 2.2.8.66: If and , find (a) (b)
 2.2.8.67: Find (a) and (b) .
 2.2.8.68: Find (a) and (b) .
 2.2.8.69: Find (a) and the domain of and (b) and the domain of .
 2.2.8.70: Find (a) and the domain of and (b) and the domain of .
 2.2.8.71: Find a composite function form for .
 2.2.8.72: Wheelchair ramp The Americans with Disabilities Act of 1990 guarant...
 2.2.8.73: Discus throw Based on Olympic records, the winning distance for the...
 2.2.8.74: House appreciation Six years ago a house was purchased for $179,000...
 2.2.8.75: Temperature scales The freezing point of water is 0C, or 32F, and t...
 2.2.8.76: Gasoline mileage Suppose the cost of driving an automobile is a lin...
 2.2.8.77: Dimensions of a pen A pen consists of five congruent rectangles, as...
 2.2.8.78: Distance between cars At noon, car A is 10 feet to the right and 20...
 2.2.8.79: Constructing a storage shelter An open rectangular storage shelter,...
 2.2.8.80: Constructing a cylindrical container A company plans to manufacture...
 2.2.8.81: Filling a pool A cross section of a rectangular pool of dimensions ...
 2.2.8.82: Filtering water Suppose 5 of water is poured into a conical filter ...
 2.2.8.83: Frustum of a cone The shape of the first spacecraft in the Apollo p...
 2.2.8.84: Water usage rates A certain city charges $3.61 per 1000 gallons of ...
 2.2.8.85: Long jump record In 1991, Mike Powell of the United States set the ...
 2.2.8.86: Wire rectangle A piece of wire 24 inches long is bent into the shap...
 2.2.8.87: Distance between ships At 1:00 P.M. ship A is 30 miles due south of...
 2.2.8.88: Dimensions of a race track The interior of a halfmile race track c...
 2.2.8.89: Vertical leaps When a particular basketball player leaps straight u...
 2.2.8.90: Trajectory of a rocket A rocket is fired up a hillside, following a...
 2.2.9.1: Compare the graphs of , , , , and on the interval . Write a general...
 2.2.9.2: Write an expression for if the graph of g is obtained from the grap...
 2.2.9.3: Consider the graph of , where f is given by . Discuss the general s...
 2.2.9.4: Simplify the difference quotient in Exercises 49 and 50 of Section ...
 2.2.9.5: Refer to Example 5 in Section 2.4. Geometrically, what does the exp...
 2.2.9.6: The midpoint formula could be considered to be the halfway formula ...
 2.2.9.7: Consider the graphs of equations of the quadratic form that have tw...
 2.2.9.8: Billing for service A common method of billing for service calls is...
 2.2.9.9: Density of the ozone layer The density D (in ) of the ozone layer a...
 2.2.9.10: Precipitation in Minneapolis The average monthly precipitation in i...
 2.2.10.1: The point B(1, 2) is one tenth of the way from the point A(3, 4) to...
 2.2.10.2: For what values of a is the distance between P(2, 3) and Q(6, a) gr...
 2.2.10.3: Find the standard equation of the circle with center (4, 5) that ha...
 2.2.10.4: Find the other intercepts of the circle with center (4, 5) that has...
 2.2.10.5: A circle has center (4, 5). Find the slopeintercept form of the li...
 2.2.10.6: Find the slopeintercept form of the line that is perpendicular to ...
 2.2.10.7: A pizza costs $9.00 plus $0.80 for each topping. The sales tax rate...
 2.2.10.8: Find the domain of . Write your answer in interval notation.
 2.2.10.9: Simplify the difference quotient for the function . Then, predict t...
 2.2.10.10: A closedtop box has a square base of side y and height 2 feet. Exp...
 2.2.10.11: If the point P(3, 2) is on the graph of a function f, find the corr...
 2.2.10.12: A salesman sells caps for $12. His commission is 10% on the first 1...
 2.2.10.13: Find the standard equation of a parabola with vertical axis and ver...
 2.2.10.14: Find the minimum value of the parabola that has xintercepts 2 and ...
 2.2.10.15: Find the mimimum value of the product p of two numbers, one of whic...
 2.2.10.16: A park offers group tours for 100 to 300 people at a time. For ever...
 2.2.10.17: Find the domain of if and .
 2.2.10.18: A manufacturer produces 5 items per hour. The cost of producing y i...
Solutions for Chapter 2: FUNCTIONS AND GRAPHS
Full solutions for Precalculus: Functions and Graphs  12th Edition
ISBN: 9780840068576
Solutions for Chapter 2: FUNCTIONS AND GRAPHS
Get Full SolutionsPrecalculus: Functions and Graphs was written by and is associated to the ISBN: 9780840068576. Chapter 2: FUNCTIONS AND GRAPHS includes 622 full stepbystep solutions. Since 622 problems in chapter 2: FUNCTIONS AND GRAPHS have been answered, more than 9151 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Precalculus: Functions and Graphs, edition: 12. This expansive textbook survival guide covers the following chapters and their solutions.

Angle between vectors
The angle formed by two nonzero vectors sharing a common initial point

Arc length formula
The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

Components of a vector
See Component form of a vector.

Compounded annually
See Compounded k times per year.

Dependent event
An event whose probability depends on another event already occurring

Descriptive statistics
The gathering and processing of numerical information

Difference of functions
(ƒ  g)(x) = ƒ(x)  g(x)

Graph of a function ƒ
The set of all points in the coordinate plane corresponding to the pairs (x, ƒ(x)) for x in the domain of ƒ.

Linear inequality in two variables x and y
An inequality that can be written in one of the following forms: y 6 mx + b, y … mx + b, y 7 mx + b, or y Ú mx + b with m Z 0

Nappe
See Right circular cone.

Negative angle
Angle generated by clockwise rotation.

Number line graph of a linear inequality
The graph of the solutions of a linear inequality (in x) on a number line

Polar coordinate system
A coordinate system whose ordered pair is based on the directed distance from a central point (the pole) and the angle measured from a ray from the pole (the polar axis)

Randomization
The principle of experimental design that makes it possible to use the laws of probability when making inferences.

Rational expression
An expression that can be written as a ratio of two polynomials.

Right circular cone
The surface created when a line is rotated about a second line that intersects but is not perpendicular to the first line.

Subtraction
a  b = a + (b)

Tree diagram
A visualization of the Multiplication Principle of Probability.

Unit vector in the direction of a vector
A unit vector that has the same direction as the given vector.

xyplane
The points x, y, 0 in Cartesian space.