 1.1: In Exercises 1 and 2, plot the points in the Cartesian plane.
 1.2: In Exercises 1 and 2, plot the points in the Cartesian plane.
 1.3: In Exercises 3 and 4, determine the quadrant(s) in which is located...
 1.4: In Exercises 3 and 4, determine the quadrant(s) in which is located...
 1.5: In Exercises 58, (a) plot the points, (b) find the distance between...
 1.6: In Exercises 58, (a) plot the points, (b) find the distance between...
 1.7: In Exercises 58, (a) plot the points, (b) find the distance between...
 1.8: In Exercises 58, (a) plot the points, (b) find the distance between...
 1.9: Original coordinates of vertices: Shift: three units downward, two ...
 1.10: Original coordinates of vertices: Shift: five units upward, four un...
 1.11: Sales The Cheesecake Factory had annual sales of $539.1 million in ...
 1.12: Meteorology The apparent temperature is a measure of relative disco...
 1.13: Geometry The volume of a globe is about 47,712.94 cubic centimeters...
 1.14: Geometry The volume of a rectangular package is 2304 cubic inches. ...
 1.15: In Exercises 1518, complete a table of values. Use the solution poi...
 1.16: In Exercises 1518, complete a table of values. Use the solution poi...
 1.17: In Exercises 1518, complete a table of values. Use the solution poi...
 1.18: In Exercises 1518, complete a table of values. Use the solution poi...
 1.19: In Exercises 1924, sketch the graph by hand.
 1.20: In Exercises 1924, sketch the graph by hand.
 1.21: In Exercises 1924, sketch the graph by hand.
 1.22: In Exercises 1924, sketch the graph by hand.
 1.23: In Exercises 1924, sketch the graph by hand.
 1.24: In Exercises 1924, sketch the graph by hand.
 1.25: In Exercises 2528, find the  and intercepts of the graph of the e...
 1.26: In Exercises 2528, find the  and intercepts of the graph of the e...
 1.27: In Exercises 2528, find the  and intercepts of the graph of the e...
 1.28: In Exercises 2528, find the  and intercepts of the graph of the e...
 1.29: In Exercises 2936, use the algebraic tests to check for symmetry wi...
 1.30: In Exercises 2936, use the algebraic tests to check for symmetry wi...
 1.31: In Exercises 2936, use the algebraic tests to check for symmetry wi...
 1.32: In Exercises 2936, use the algebraic tests to check for symmetry wi...
 1.33: In Exercises 2936, use the algebraic tests to check for symmetry wi...
 1.34: In Exercises 2936, use the algebraic tests to check for symmetry wi...
 1.35: In Exercises 2936, use the algebraic tests to check for symmetry wi...
 1.36: In Exercises 2936, use the algebraic tests to check for symmetry wi...
 1.37: In Exercises 3742, find the center and radius of the circle and ske...
 1.38: In Exercises 3742, find the center and radius of the circle and ske...
 1.39: In Exercises 3742, find the center and radius of the circle and ske...
 1.40: In Exercises 3742, find the center and radius of the circle and ske...
 1.41: In Exercises 3742, find the center and radius of the circle and ske...
 1.42: In Exercises 3742, find the center and radius of the circle and ske...
 1.43: Find the standard form of the equation of the circle for which the ...
 1.44: Find the standard form of the equation of the circle for which the ...
 1.45: Physics The force (in pounds) required to stretch a spring inches f...
 1.46: Number of Stores The numbers of Target stores for the years 1994 to...
 1.47: In Exercises 4750, find the slope and intercept (if possible) of t...
 1.48: In Exercises 4750, find the slope and intercept (if possible) of t...
 1.49: In Exercises 4750, find the slope and intercept (if possible) of t...
 1.50: In Exercises 4750, find the slope and intercept (if possible) of t...
 1.51: In Exercises 5154, plot the points and find the slope of the line p...
 1.52: In Exercises 5154, plot the points and find the slope of the line p...
 1.53: In Exercises 5154, plot the points and find the slope of the line p...
 1.54: In Exercises 5154, plot the points and find the slope of the line p...
 1.55: In Exercises 5558, find the slopeintercept form of the equation of...
 1.56: In Exercises 5558, find the slopeintercept form of the equation of...
 1.57: In Exercises 5558, find the slopeintercept form of the equation of...
 1.58: In Exercises 5558, find the slopeintercept form of the equation of...
 1.59: In Exercises 5962, find the slopeintercept form of the equation of...
 1.60: In Exercises 5962, find the slopeintercept form of the equation of...
 1.61: In Exercises 5962, find the slopeintercept form of the equation of...
 1.62: In Exercises 5962, find the slopeintercept form of the equation of...
 1.63: In Exercises 63 and 64,write the slopeintercept forms of the equat...
 1.64: In Exercises 63 and 64,write the slopeintercept forms of the equat...
 1.65: In Exercises 65 and 66, you are given the dollar value of a product...
 1.66: In Exercises 65 and 66, you are given the dollar value of a product...
 1.67: In Exercises 6770, determine whether the equation represents as a f...
 1.68: In Exercises 6770, determine whether the equation represents as a f...
 1.69: In Exercises 6770, determine whether the equation represents as a f...
 1.70: In Exercises 6770, determine whether the equation represents as a f...
 1.71: In Exercises 71 and 72, evaluate the function at each specified val...
 1.72: In Exercises 71 and 72, evaluate the function at each specified val...
 1.73: In Exercises 7376, find the domain of the function. Verify your res...
 1.74: In Exercises 7376, find the domain of the function. Verify your res...
 1.75: In Exercises 7376, find the domain of the function. Verify your res...
 1.76: In Exercises 7376, find the domain of the function. Verify your res...
 1.77: Physics The velocity of a ball projected upward from ground level i...
 1.78: Mixture a full 50liter container of a 40% concentration of acid, l...
 1.79: In Exercises 79 and 80, find the difference quotient and simplify y...
 1.80: In Exercises 79 and 80, find the difference quotient and simplify y...
 1.81: In Exercises 8184, use the Vertical Line Test to determine whether ...
 1.82: In Exercises 8184, use the Vertical Line Test to determine whether ...
 1.83: In Exercises 8184, use the Vertical Line Test to determine whether ...
 1.84: In Exercises 8184, use the Vertical Line Test to determine whether ...
 1.85: In Exercises 85 88, find the zeros of the function algebraically.
 1.86: In Exercises 85 88, find the zeros of the function algebraically.
 1.87: In Exercises 85 88, find the zeros of the function algebraically.
 1.88: In Exercises 85 88, find the zeros of the function algebraically.
 1.89: In Exercises 89 and 90, determine the intervals over which the func...
 1.90: In Exercises 89 and 90, determine the intervals over which the func...
 1.91: In Exercises 9194, use a graphing utility to graph the function and...
 1.92: In Exercises 9194, use a graphing utility to graph the function and...
 1.93: In Exercises 9194, use a graphing utility to graph the function and...
 1.94: In Exercises 9194, use a graphing utility to graph the function and...
 1.95: In Exercises 9598, find the average rate of change of the function ...
 1.96: In Exercises 9598, find the average rate of change of the function ...
 1.97: In Exercises 9598, find the average rate of change of the function ...
 1.98: In Exercises 9598, find the average rate of change of the function ...
 1.99: In Exercises 99102, determine whether the function is even, odd, or...
 1.100: In Exercises 99102, determine whether the function is even, odd, or...
 1.101: In Exercises 99102, determine whether the function is even, odd, or...
 1.102: In Exercises 99102, determine whether the function is even, odd, or...
 1.103: In Exercises 103104, write the linear function such that it has the...
 1.104: In Exercises 103104, write the linear function such that it has the...
 1.105: In Exercises 105114, graph the function.
 1.106: In Exercises 105114, graph the function.
 1.107: In Exercises 105114, graph the function.
 1.108: In Exercises 105114, graph the function.
 1.109: In Exercises 105114, graph the function.
 1.110: In Exercises 105114, graph the function.
 1.111: In Exercises 105114, graph the function.
 1.112: In Exercises 105114, graph the function.
 1.113: In Exercises 105114, graph the function.
 1.114: In Exercises 105114, graph the function.
 1.115: In Exercises 115 and 116, the figure shows the graph of a transform...
 1.116: In Exercises 115 and 116, the figure shows the graph of a transform...
 1.117: In Exercises 117130, is related to one of the parent functions desc...
 1.118: In Exercises 117130, is related to one of the parent functions desc...
 1.119: In Exercises 117130, is related to one of the parent functions desc...
 1.120: In Exercises 117130, is related to one of the parent functions desc...
 1.121: In Exercises 117130, is related to one of the parent functions desc...
 1.122: In Exercises 117130, is related to one of the parent functions desc...
 1.123: In Exercises 117130, is related to one of the parent functions desc...
 1.124: In Exercises 117130, is related to one of the parent functions desc...
 1.125: In Exercises 117130, is related to one of the parent functions desc...
 1.126: In Exercises 117130, is related to one of the parent functions desc...
 1.127: In Exercises 117130, is related to one of the parent functions desc...
 1.128: In Exercises 117130, is related to one of the parent functions desc...
 1.129: In Exercises 117130, is related to one of the parent functions desc...
 1.130: In Exercises 117130, is related to one of the parent functions desc...
 1.131: In Exercises 131 and 132, find (a) (b) (c) and (d) What is the doma...
 1.132: In Exercises 131 and 132, find (a) (b) (c) and (d) What is the doma...
 1.133: In Exercises 133 and 134, find (a) and (b) Find the domain of each ...
 1.134: In Exercises 133 and 134, find (a) and (b) Find the domain of each ...
 1.135: In Exercises 135 and 136, find two functions and such that (There a...
 1.136: In Exercises 135 and 136, find two functions and such that (There a...
 1.137: Electronics Sales The factory sales (in millions of dollars) for VC...
 1.138: Bacteria Count The number of bacteria in a refrigerated food is giv...
 1.139: In Exercises 139 and 140, find the inverse function of f informally...
 1.140: In Exercises 139 and 140, find the inverse function of f informally...
 1.141: In Exercises 141 and 142, determine whether the function has an inv...
 1.142: In Exercises 141 and 142, determine whether the function has an inv...
 1.143: In Exercises 143146, use a graphing utility to graph the function, ...
 1.144: In Exercises 143146, use a graphing utility to graph the function, ...
 1.145: In Exercises 143146, use a graphing utility to graph the function, ...
 1.146: In Exercises 143146, use a graphing utility to graph the function, ...
 1.147: In Exercises 147150, (a) find the inverse function of (b) graph bot...
 1.148: In Exercises 147150, (a) find the inverse function of (b) graph bot...
 1.149: In Exercises 147150, (a) find the inverse function of (b) graph bot...
 1.150: In Exercises 147150, (a) find the inverse function of (b) graph bot...
 1.151: In Exercises 151 and 152, restrict the domain of the function to an...
 1.152: In Exercises 151 and 152, restrict the domain of the function to an...
 1.153: Median Income The median incomes (in thousands of dollars) for marr...
 1.154: Data Analysis: Electronic Games The table shows the factory sales (...
 1.155: Measurement You notice a billboard indicating that it is 2.5 miles ...
 1.156: Energy The power produced by a wind turbine is proportional to the ...
 1.157: Frictional Force The frictional force between the tires and the roa...
 1.158: Demand A company has found that the daily demand for its boxes of c...
 1.159: Travel Time The travel time between two cities is inversely proport...
 1.160: Cost The cost of constructing a wooden box with a square base varie...
 1.161: Relative to the graph of the function given by is shifted 9 units t...
 1.162: If and are two inverse functions, then the domain of is equal to th...
 1.163: If is directly proportional to then is directly proportional to
 1.164: Writing Explain the difference between the Vertical Line Test and t...
 1.165: Writing Explain how to tell whether a relation between two variable...
Solutions for Chapter 1: Functions and Their Graphs
Full solutions for Precalculus  7th Edition
ISBN: 9780618643448
Solutions for Chapter 1: Functions and Their Graphs
Get Full SolutionsThis textbook survival guide was created for the textbook: Precalculus, edition: 7. This expansive textbook survival guide covers the following chapters and their solutions. Chapter 1: Functions and Their Graphs includes 165 full stepbystep solutions. Since 165 problems in chapter 1: Functions and Their Graphs have been answered, more than 20518 students have viewed full stepbystep solutions from this chapter. Precalculus was written by and is associated to the ISBN: 9780618643448.

Bounded above
A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

Common difference
See Arithmetic sequence.

Compounded continuously
Interest compounded using the formula A = Pert

Coordinate(s) of a point
The number associated with a point on a number line, or the ordered pair associated with a point in the Cartesian coordinate plane, or the ordered triple associated with a point in the Cartesian threedimensional space

Cube root
nth root, where n = 3 (see Principal nth root),

Direct variation
See Power function.

Equilibrium point
A point where the supply curve and demand curve intersect. The corresponding price is the equilibrium price.

Hypotenuse
Side opposite the right angle in a right triangle.

Inductive step
See Mathematical induction.

Infinite discontinuity at x = a
limx:a + x a ƒ(x) = q6 or limx:a  ƒ(x) = q.

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)

Present value of an annuity T
he net amount of your money put into an annuity.

Product of a scalar and a vector
The product of scalar k and vector u = 8u1, u29 1or u = 8u1, u2, u392 is k.u = 8ku1, ku291or k # u = 8ku1, ku2, ku392,

Quotient rule of logarithms
logb a R S b = logb R  logb S, R > 0, S > 0

Real number line
A horizontal line that represents the set of real numbers.

Reflection across the yaxis
x, y and (x,y) are reflections of each other across the yaxis.

Righthand limit of ƒ at x a
The limit of ƒ as x approaches a from the right.

Sum identity
An identity involving a trigonometric function of u + v

Terminal point
See Arrow.

Vertical line test
A test for determining whether a graph is a function.