Precalculus: Graphical, Numerical, Algebraic 8th Edition solutions

Precalculus: Graphical, Numerical, Algebraic 8th Edition

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, match the graph with the corresponding function (a)( j) from the list below. Use your knowledge of function behavior, not your grapher. (a) \(f(x)=x^2-1\) (b) \(f(x)=x^2+1\) (c) \(f(x)=(x-2)^2\) (d) \(f(x)=(x+2)^2\) (e) \(f(x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, match the graph with the corresponding function (a)( j) from the list below. Use your knowledge of function behavior, not your grapher. (a) \(f(x)=x^2-1\) (b) \(f(x)=x^2+1\) (c) \(f(x)=(x-2)^2\) (d) \(f(x)=(x+2)^2\) (e) \(f(x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, match the graph with the corresponding function (a)( j) from the list below. Use your knowledge of function behavior, not your grapher. (a) \(f(x)=x^2-1\) (b) \(f(x)=x^2+1\) (c) \(f(x)=(x-2)^2\) (d) \(f(x)=(x+2)^2\) (e) \(f(x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, match the graph with the corresponding function (a)( j) from the list below. Use your knowledge of function behavior, not your grapher. (a) \(f(x)=x^2-1\) (b) \(f(x)=x^2+1\) (c) \(f(x)=(x-2)^2\) (d) \(f(x)=(x+2)^2\) (e) \(f(x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, match the graph with the corresponding function (a)( j) from the list below. Use your knowledge of function behavior, not your grapher. (a) \(f(x)=x^2-1\) (b) \(f(x)=x^2+1\) (c) \(f(x)=(x-2)^2\) (d) \(f(x)=(x+2)^2\) (e) \(f(x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, match the graph with the corresponding function (a)( j) from the list below. Use your knowledge of function behavior, not your grapher. (a) \(f(x)=x^2-1\) (b) \(f(x)=x^2+1\) (c) \(f(x)=(x-2)^2\) (d) \(f(x)=(x+2)^2\) (e) \(f(x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, match the graph with the corresponding function (a)( j) from the list below. Use your knowledge of function behavior, not your grapher. (a) \(f(x)=x^2-1\) (b) \(f(x)=x^2+1\) (c) \(f(x)=(x-2)^2\) (d) \(f(x)=(x+2)^2\) (e) \(f(x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, match the graph with the corresponding function (a)( j) from the list below. Use your knowledge of function behavior, not your grapher. (a) \(f(x)=x^2-1\) (b) \(f(x)=x^2+1\) (c) \(f(x)=(x-2)^2\) (d) \(f(x)=(x+2)^2\) (e) \(f(x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, match the graph with the corresponding function (a)( j) from the list below. Use your knowledge of function behavior, not your grapher. (a) \(f(x)=x^2-1\) (b) \(f(x)=x^2+1\) (c) \(f(x)=(x-2)^2\) (d) \(f(x)=(x+2)^2\) (e) \(f(x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 110, match the graph with the corresponding function (a)( j) from the list below. Use your knowledge of function behavior, not your grapher. (a) \(f(x)=x^2-1\) (b) \(f(x)=x^2+1\) (c) \(f(x)=(x-2)^2\) (d) \(f(x)=(x+2)^2\) (e) \(f(x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1118, find (a) the domain and (b) the range of the function. \(g(x)=x^3\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1118, find (a) the domain and (b) the range of the function. \(f(x)=35 x-602\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1118, find (a) the domain and (b) the range of the function. \(g(x)=x^2+2 x+1\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1118, find (a) the domain and (b) the range of the function. \(h(x)=(x-2)^2+5\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1118, find (a) the domain and (b) the range of the function. \(g(x)=3|x|+8\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1118, find (a) the domain and (b) the range of the function. \(k(x)=-\sqrt{4-x^2}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1118, find (a) the domain and (b) the range of the function. \(f(x)=\frac{x}{x^2-2 x}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 1118, find (a) the domain and (b) the range of the function. \(k(x)=\frac{1}{\sqrt{9-x^2}}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 19 and 20, graph the function, and state whether the function is continuous at If it is discontinuous, state whether the discontinuity is removable or nonremovable \(f(x)=\frac{x^{2}-3}{x+2}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 19 and 20, graph the function, and state whether the function is continuous at If it is discontinuous, state whether the discontinuity is removable or nonremovable \(k(x)=\left\{\begin{array}{c} 2 x+3 \text { if } x>0 \\ 3-x^{2} \text { if } x \leq 0 \end{array}\right.\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2124, find all (a) vertical asymptotes and (b) horizontal asymptotes of the graph of the function. Be sure to state your answers as equations of lines. \(y=\frac{5}{x^{2}-5 x}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2124, find all (a) vertical asymptotes and (b) horizontal asymptotes of the graph of the function. Be sure to state your answers as equations of lines. \(y=\frac{3 x}{x-4}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2124, find all (a) vertical asymptotes and (b) horizontal asymptotes of the graph of the function. Be sure to state your answers as equations of lines. \(y=\frac{7 x}{\sqrt{x^{2}+10}}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2124, find all (a) vertical asymptotes and (b) horizontal asymptotes of the graph of the function. Be sure to state your answers as equations of lines. \(y=\frac{|x|}{x+1}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2528, graph the function and state the intervals on which the function is increasing. \(y=\frac{x^{3}}{6}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2528, graph the function and state the intervals on which the function is increasing. \(y=2+|x-1|\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2528, graph the function and state the intervals on which the function is increasing. \(y=\frac{x}{1-x^{2}}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2528, graph the function and state the intervals on which the function is increasing. \(y=\frac{x^{2}-1}{x^{2}-4}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2932, graph the function and tell whether the function is bounded above, bounded below, or bounded. (x) = x + sin x

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2932, graph the function and tell whether the function is bounded above, bounded below, or bounded. \(g(x)=\frac{6 x}{x^{2}+1}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2932, graph the function and tell whether the function is bounded above, bounded below, or bounded. \(h(x)=5-e^{x}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 2932, graph the function and tell whether the function is bounded above, bounded below, or bounded. \(k(x)=1000+\frac{x}{1000}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3336, use a grapher to find all (a) relative maximum values and (b) relative minimum values of the function. Also state the value of x at which each relative extremum occurs. \(y=(x+1)^{2}-7\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3336, use a grapher to find all (a) relative maximum values and (b) relative minimum values of the function. Also state the value of x at which each relative extremum occurs. \(y=x^{3}-3 x\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3336, use a grapher to find all (a) relative maximum values and (b) relative minimum values of the function. Also state the value of x at which each relative extremum occurs. \(y=\frac{x^{2}+4}{x^{2}-4}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3336, use a grapher to find all (a) relative maximum values and (b) relative minimum values of the function. Also state the value of x at which each relative extremum occurs. \(y=\frac{4 x}{x^{2}+4}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3740, graph the function and state whether the function is odd, even, or neither. \(y=3 x^{2}-4|x|\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3740, graph the function and state whether the function is odd, even, or neither. \(y=\sin x-x^{3}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3740, graph the function and state whether the function is odd, even, or neither. \(y=\frac{x}{e^{x}}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 3740, graph the function and state whether the function is odd, even, or neither. y = x cos (x)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4144, find a formula for \(f^{-1}(x)\). (x) = 2x + 3

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4144, find a formula for \(f^{-1}(x)\). \(f(x)=\sqrt[3]{x-8}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4144, find a formula for \(f^{-1}(x)\). \(f(x)=\frac{2}{x}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 4144, find a formula for \(f^{-1}(x)\). \(f(x)=\frac{6}{x+4}\)

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Exercises 4552 refer to the function y = (x) whose graph is given below. Sketch the graph of y = (x) - 1.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Exercises 4552 refer to the function y = (x) whose graph is given below. Sketch the graph of y = (x - 1).

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Exercises 4552 refer to the function y = (x) whose graph is given below. Sketch the graph of y = (-x).

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Exercises 4552 refer to the function y = (x) whose graph is given below. Sketch the graph of y = -(x).

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Exercises 4552 refer to the function y = (x) whose graph is given below. Sketch a graph of the inverse relation.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Exercises 4552 refer to the function y = (x) whose graph is given below. Does the inverse relation define y as a function of x?

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Exercises 4552 refer to the function y = (x) whose graph is given below. Sketch a graph of y = |(x)|.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Exercises 4552 refer to the function y = (x) whose graph is given below. Define algebraically as a piecewise function. [Hint: the pieces are translations of two of our basic functions.]

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5358, let \(f(x)=\sqrt{x} \text { and let } g(x)=x^{2}-4\) Find an expression for \((f \circ g)(x)\) and give its domain.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5358, let \(f(x)=\sqrt{x} \text { and let } g(x)=x^{2}-4\) Find an expression for \((g \circ f)(x)\) and give its domain.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5358, let \(f(x)=\sqrt{x} \text { and let } g(x)=x^{2}-4\) Find an expression for (g)(x) and give its domain.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5358, let \(f(x)=\sqrt{x} \text { and let } g(x)=x^{2}-4\) Find an expression for \(\left(\frac{f}{g}\right)(x)\) and give its domain.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5358, let \(f(x)=\sqrt{x} \text { and let } g(x)=x^{2}-4\) Describe the end behavior of the graph of y = (x).

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5358, let \(f(x)=\sqrt{x} \text { and let } g(x)=x^{2}-4\) Describe the end behavior of the graph of y = (g(x)).

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5964, write the specified quantity as a function of the specified variable. Remember that drawing a picture will help. Square Inscribed in a Circle A square of side s is inscribed in a circle. Write the area of the circle as a function of s.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5964, write the specified quantity as a function of the specified variable. Remember that drawing a picture will help. Circle Inscribed in a Square A circle is inscribed in a square of side s. Write the area of the circle as a function of s.

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5964, write the specified quantity as a function of the specified variable. Remember that drawing a picture will help. Volume of a Cylindrical Tank A cylindrical tank with diameter 20 feet is partially filled with oil to a depth of h feet. Write the volume of oil in the tank as a fu

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5964, write the specified quantity as a function of the specified variable. Remember that drawing a picture will help. Draining a Cylindrical Tank A cylindrical tank with diameter 20 feet is filled with oil to a depth of 40 feet. The oil begins draining at a constant rate of 2 cubic

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5964, write the specified quantity as a function of the specified variable. Remember that drawing a picture will help. Draining a Cylindrical Tank A cylindrical tank with diameter 20 feet is filled with oil to a depth of 40 feet. The oil begins draining at a constant rate of 2 cubic

Precalculus: Graphical, Numerical, Algebraic 8th Edition
In Exercises 5964, write the specified quantity as a function of the specified variable. Remember that drawing a picture will help. Draining a Cylindrical Tank A cylindrical tank with diameter 20 feet is filled with oil to a depth of 40 feet. The oil begins draining so that the depth of oil in t

Precalculus: Graphical, Numerical, Algebraic 8th Edition
U.S. Crude Oil Imports The imports of crude oil to the United States from Canada in the years 20002008 (in thousands of barrels per day) are given in Table 1.15. (a) Sketch a scatter plot of import numbers in the right-hand column (y) as a function of years since 2000 (x). (b) Find th

Precalculus: Graphical, Numerical, Algebraic 8th Edition
The winning times in the womens 100-meter freestyle event at the Summer Olympic Games since 1956 are shown in Table 1.16. (a) Sketch a scatter plot of the times (y) as a function of the years (x) beyond 1900. (The values of x will run from 56 to 108.) (b) Explain why a linear model ca

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Inscribing a Cylinder Inside a Sphere A right circular cylinder of radius r and height h is inscribed inside a sphere of radius \(\sqrt{3}\) inches. (a) Use the Pythagorean Theorem to write h as a function of r. (b) Write the volume V of the cylinder as a function of r. (c) What v

Precalculus: Graphical, Numerical, Algebraic 8th Edition
Inscribing a Rectangle Under a Parabola A rectangle is inscribed between the x-axis and the parabola \(y=36-x^{2}\) with one side along the x-axis, as shown in the figure below. (a) Let x denote the x-coordinate of the point highlighted in the figure. Write the area A of the rectangle as a