 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 10714 students have viewed full stepbystep solutions from this chapter. Precalculus was written by and is associated to the ISBN: 9780618643448.

Complex plane
A coordinate plane used to represent the complex numbers. The xaxis of the complex plane is called the real axis and the yaxis is the imaginary axis

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

equation of a parabola
(x  h)2 = 4p(y  k) or (y  k)2 = 4p(x  h)

Fibonacci numbers
The terms of the Fibonacci sequence.

Focus, foci
See Ellipse, Hyperbola, Parabola.

Gaussian elimination
A method of solving a system of n linear equations in n unknowns.

Geometric sequence
A sequence {an}in which an = an1.r for every positive integer n ? 2. The nonzero number r is called the common ratio.

Instantaneous velocity
The instantaneous rate of change of a position function with respect to time, p. 737.

Interval
Connected subset of the real number line with at least two points, p. 4.

Multiplication principle of counting
A principle used to find the number of ways an event can occur.

Parametric curve
The graph of parametric equations.

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Solve a system
To find all solutions of a system.

Transverse axis
The line segment whose endpoints are the vertices of a hyperbola.

Union of two sets A and B
The set of all elements that belong to A or B or both.

Vertex of an angle
See Angle.

Wrapping function
The function that associates points on the unit circle with points on the real number line

xaxis
Usually the horizontal coordinate line in a Cartesian coordinate system with positive direction to the right,.

xcoordinate
The directed distance from the yaxis yzplane to a point in a plane (space), or the first number in an ordered pair (triple), pp. 12, 629.
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