In Exercises 712, use your knowledge of asymptotes and intercepts to match the equation

Determine the domain of the function.f 1x2 = x2 2 - x

Determine the domain of the function.f 1x2 = 1 x3

Determine the domain of the function.f 1x2 = x + 1 x2 - 6x + 5

Determine the domain of the function. 1x2 = 1x + 422 4x - 3

Determine the domain of the function.f 1x2 = 3x - 4 3x + 15

Determine the domain of the function.f 1x2 = x2 + 3x - 10 x2 + 2x

In Exercises 712, use your knowledge of asymptotes and intercepts to match the equation with one of the graphs (a)(f), which follow. List all asymptotes. Check your work using a graphing calculator.f 1x2 = 8 x2 - 4

In Exercises 712, use your knowledge of asymptotes and intercepts to match the equation with one of the graphs (a)(f), which follow. List all asymptotes. Check your work using a graphing calculator.f 1x2 = 8 x2 + 4

In Exercises 712, use your knowledge of asymptotes and intercepts to match the equation with one of the graphs (a)(f), which follow. List all asymptotes. Check your work using a graphing calculator.f 1x2 = 8x x2 - 4

In Exercises 712, use your knowledge of asymptotes and intercepts to match the equation with one of the graphs (a)(f), which follow. List all asymptotes. Check your work using a graphing calculator.f 1x2 = 8x2 x2 - 4

In Exercises 712, use your knowledge of asymptotes and intercepts to match the equation with one of the graphs (a)(f), which follow. List all asymptotes. Check your work using a graphing calculator.f 1x2 = 8x3 x2 - 4

In Exercises 712, use your knowledge of asymptotes and intercepts to match the equation with one of the graphs (a)(f), which follow. List all asymptotes. Check your work using a graphing calculator. 1x2 = 8x3 x2 + 4

Determine the vertical asymptotes of the graph of the function.g1x2 = 1 x2

Determine the vertical asymptotes of the graph of the function.f 1x2 = 4x x2 + 10x

Determine the vertical asymptotes of the graph of the function.h1x2 = x + 7 2 - x

Determine the vertical asymptotes of the graph of the function. g1x2 = x4 + 2 x

Determine the vertical asymptotes of the graph of the function.f 1x2 = 3 - x 1x - 421x + 62

Determine the vertical asymptotes of the graph of the function.h1x2 = x2 - 4 x1x + 521x - 22

Determine the vertical asymptotes of the graph of the function.g1x2 = x3 2x3 - x2 - 3x

Determine the vertical asymptotes of the graph of the function.f 1x2 = x + 5 x2 + 4x - 32

Determine the horizontal asymptote of the graph of the function.f 1x2 = 3x2 + 5 4x2 - 3

Determine the horizontal asymptote of the graph of the function.g1x2 = x + 6 x3 + 2x2

Determine the horizontal asymptote of the graph of the function.h1x2 = x2 - 4 2x4 + 3

Determine the horizontal asymptote of the graph of the function.f 1x2 = x5 x5 + x

Determine the horizontal asymptote of the graph of the function.g1x2 = x3 - 2x2 + x - 1 x2 - 16

Determine the horizontal asymptote of the graph of the function.h1x2 = 8x4 + x - 2 2x4 - 10

Determine the oblique asymptote of the graph of the function.g1x2 = x2 + 4x - 1 x + 3

Determine the oblique asymptote of the graph of the functionf 1x2 = x2 - 6x x - 5

Determine the oblique asymptote of the graph of the function.Determine the oblique asymptote of the graph of the function.

Determine the oblique asymptote of the graph of the function.g1x2 = 12x3 - x 6x2 + 4

Determine the oblique asymptote of the graph of the function.f 1x2 = x3 - x2 + x - 4 x2 + 2x - 1

Determine the oblique asymptote of the graph of the function.h1x2 = 5x3 - x2 + x - 1 x2 - x + 2

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = 1 x

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.g1x2 = 1 x2

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.h1x2 = - 4 x2

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = - 6 x

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.g1x2 = x2 - 4x + 3 x + 1

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.h1x2 = 2x2 - x - 3 x - 1

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = -2 x - 5

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = 1 x - 5

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = 2x + 1 x

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = 3x - 1 x

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x + 3 x2 - 9

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x - 1 x2 - 1

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x x2 + 3x

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = 3x 3x - x2

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = 1 1x - 222

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = -2 1x - 322

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x2 + 2x - 3 x2 + 4x + 3

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x2 - x - 2 x2 - 5x - 6

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = 1 x2 + 3

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = -1 x2 + 2

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x2 - 4 x - 2

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x2 - 9 x + 3

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x - 1 x + 2

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x - 2 x + 1

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x2 + 3x 2x3 - 5x2 - 3x

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = 3x x2 + 5x + 4

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x2 - 9 x + 1

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x3 - 4x x2 - x

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x2 + x - 2 2x2 + 1

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x2 - 2x - 3 3x2 + 2

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.g1x2 = 3x2 - x - 2 x - 1

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = 2x2 - 5x - 3 2x + 1

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x - 1 x2 - 2x - 3

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x + 2 x2 + 2x - 15

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = 3x2 + 11x - 4 x2 + 2x - 8

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = 2x2 - 3x - 9 x2 - 2x - 3

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x - 3 1x + 123

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x + 2 1x - 123

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x3 + 1 x

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x3 - 1 x

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x3 + 2x2 - 15x x2 - 5x - 14

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x3 + 2x2 - 3x x2 - 25

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = 5x4 x4 + 1

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x + 1 x2 + x - 6

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator.f 1x2 = x2 x2 - x - 2

Make a hand-drawn graph for each of Exercises 3378. Be sure to label all the asymptotes. List the domain and the x-intercepts and the y-intercepts. Check your work using a graphing calculator. 1x2 = x2 - x - 2 x + 2

Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible.Vertical asymptotes x = -4, x = 5

Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible.Vertical asymptotes x = -4, x = 5; x-intercept 1-2, 02

Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible.Vertical asymptotes x = -4, x = 5; horizontal asymptote y = 3 2; x-intercept 1-2, 02

Find a rational function that satisfies the given conditions. Answers may vary, but try to give the simplest answer possible.Oblique asymptote y = x - 1

Medical Dosage. The function N1t2 = 0.8t + 1000 5t + 4 , t 15, gives the body concentration N1t2, in parts per million, of a certain dosage of medication after time t, in hours. a) Graph the function on the interval 315, 2 and complete the following: N1t2 S as t S . b) Explain the meaning of the answer to part (a) in terms of the application.

Average Cost. The average cost per disc, in dollars, for a company to produce x discs on exercising is given by the function A1x2 = 2x + 100 x , x 7 0. a) Graph the function on the interval 10, 2 and complete the following: A1x2 S as x S . b) Explain the meaning of the answer to part (a) in terms of the application

Population Growth. The population P, in thousands, of a senior community is given by P1t2 = 500t 2t 2 + 9 , where t is the time, in months.

Minimizing Surface Area. The Hold-It Container Co. is designing an open-top rectangular box, with a square base, that will hold 108 cubic centimeters. x x y a) Express the surface area S as a function of the length x of a side of the base. b) Use a graphing calculator to graph the function on the interval 10, 2. c) Estimate the minimum surface area and the value of x that will yield it.

A function is a correspondence between a first set, called the , and a second set, called the , such that each member of the corresponds to exactly one member of the .

The of a line containing 1x1, y12 and 1x2, y22 is given by 1 y2 - y12>1x2 - x12.

The of the line with slope m and y-intercept 10, b2 is y = mx + b.

The of the line with slope m passing through 1x1, y12 is y - y1 = m1x - x12.

A(n) is a point 1a, 02.

For each x in the domain of an odd function f, .

are given by equations of the type x = a.

The is a x1 + x2 2 , y1 + y2 2 b.

A(n) is a point 10, b2.

Graph y1 = x3 + 4 x and y2 = x2 using the same viewing window. Explain how the parabola y2 = x2 can be thought of as a nonlinear asymptote for y1

Find the nonlinear asymptote of the function.f 1x2 = x5 + 2x3 + 4x2 x2 + 2

Find the nonlinear asymptote of the function.f 1x2 = x4 + 3x2 x2 + 1

Graph the function.f 1x2 = 2x3 + x2 - 8x - 4 x3 + x2 - 9x - 9

Graph the function.f 1x2 = x3 + 4x2 + x - 6 x2 - x - 2