COLLEGE ALGEBRA ESSEN.-COMBO ACCESS
6th Edition
ISBN: 9780137308354
Author: Blitzer
Publisher: PEARSON
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Chapter 3, Problem 60RE
To determine
To find: The vertical asymptote if any and the horizontal asymptote, if one exists and the slant asymptote if there is one and then graph the rational function
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In Exercises 37–44, find the horizontal asymptote, if there is one,
of the graph of each rational function.
12x
15x
37. f(x)
38. Ax):
3x + 1
3x + 1
12x2
15x
39. g(x) =
40. g(x) =
3x + 1
3x + 1
12r
15x
41. h(x)
42. h(x)
3x + 1
3x + 1
-2r + 1
-3x + 7
43. fх)
44. f(x) =
3x + 5
5x - 2
55
In Exercises 20-25, find the domain of each rational function and
graph the function.
1
20. f(x) =
(x + 3)
21. f(x)
+2
22. f(x) =
16
x - 9
23. f(x)
X - 2
x +1
24. f(x) :
x* + 2x - 3
4x2
25. f(x) = 2+ 3
1.
II
Chapter 3 Solutions
COLLEGE ALGEBRA ESSEN.-COMBO ACCESS
Ch. 3.1 - Graph the quadratic function f(x) = (x 1)2 + 4.Ch. 3.1 - Prob. 2CPCh. 3.1 - Prob. 3CPCh. 3.1 - Prob. 4CPCh. 3.1 - An archers arrow follows a parabolic path. The...Ch. 3.1 - Prob. 6CPCh. 3.1 - You have 120 feet of fencing to enclose a...Ch. 3.1 - Fill in each blank so that the resulting statement...Ch. 3.1 - Prob. 2CVCCh. 3.1 - Prob. 3CVC
Ch. 3.1 - Prob. 4CVCCh. 3.1 - Prob. 5CVCCh. 3.1 - Prob. 6CVCCh. 3.1 - Prob. 7CVCCh. 3.1 - In Exercises 14, the graph of a quadratic function...Ch. 3.1 - Prob. 2ECh. 3.1 - In Exercises 14, the graph of a quadratic function...Ch. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - In Exercises 5-8, the graph of a quadratic...Ch. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10ECh. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - In Exercises 1738, use the vertex and intercepts...Ch. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - In Exercises 4548, give the domain and the range...Ch. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.1 - Prob. 51ECh. 3.1 - In Exercises 49-52, write an equation in standard...Ch. 3.1 - Prob. 53ECh. 3.1 - Prob. 54ECh. 3.1 - Prob. 55ECh. 3.1 - Prob. 56ECh. 3.1 - Prob. 57ECh. 3.1 - Prob. 58ECh. 3.1 - Prob. 59ECh. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Prob. 62ECh. 3.1 - Prob. 63ECh. 3.1 - Prob. 64ECh. 3.1 - Prob. 65ECh. 3.1 - Prob. 66ECh. 3.1 - Prob. 67ECh. 3.1 - Prob. 68ECh. 3.1 - A rectangular playground is to be fenced off and...Ch. 3.1 - A rectangular playground is to be fenced off and...Ch. 3.1 - A rain gutter is made from sheets of aluminum that...Ch. 3.1 - A rain gutter is made from sheets of aluminum that...Ch. 3.1 - Prob. 73ECh. 3.1 - Prob. 74ECh. 3.1 - Prob. 75ECh. 3.1 - Explain how to decide whether a parabola opens...Ch. 3.1 - Describe how to find a parabolas vertex if its...Ch. 3.1 - Prob. 78ECh. 3.1 - Prob. 79ECh. 3.1 - Prob. 80ECh. 3.1 - Prob. 81ECh. 3.1 - Prob. 82ECh. 3.1 - Prob. 83ECh. 3.1 - Prob. 84ECh. 3.1 - Prob. 85ECh. 3.1 - Prob. 86ECh. 3.1 - Prob. 87ECh. 3.1 - Prob. 88ECh. 3.1 - Make Sense? In Exercises 8790, determine whether...Ch. 3.1 - Make Sense? In Exercises 8790, determine whether...Ch. 3.1 - Prob. 91ECh. 3.1 - Prob. 92ECh. 3.1 - Prob. 93ECh. 3.1 - Prob. 94ECh. 3.1 - In Exercises 9596, find the axis of symmetry for...Ch. 3.1 - Prob. 96ECh. 3.1 - Prob. 97ECh. 3.1 - Prob. 98ECh. 3.1 - Prob. 99ECh. 3.1 - The annual yield per lemon tree is fairly constant...Ch. 3.1 - Prob. 101ECh. 3.1 - Prob. 102ECh. 3.1 - Prob. 104ECh. 3.1 - Prob. 105ECh. 3.1 - Prob. 106ECh. 3.1 - Prob. 107ECh. 3.1 - Exercises 105107 will help you prepare for the...Ch. 3.1 - Prob. 109ECh. 3.2 - Use the Leading Coefficient Test to determine the...Ch. 3.2 - Prob. 2CPCh. 3.2 - Prob. 3CPCh. 3.2 - Prob. 4CPCh. 3.2 - Prob. 5CPCh. 3.2 - Prob. 6CPCh. 3.2 - Prob. 7CPCh. 3.2 - Prob. 8CPCh. 3.2 - Prob. 9CPCh. 3.2 - Prob. 10CPCh. 3.2 - Prob. 1CVCCh. 3.2 - Fill in each blank so that the resulting statement...Ch. 3.2 - Prob. 3CVCCh. 3.2 - Prob. 4CVCCh. 3.2 - Prob. 5CVCCh. 3.2 - Prob. 6CVCCh. 3.2 - Prob. 7CVCCh. 3.2 - Prob. 8CVCCh. 3.2 - Fill in each blank so that the resulting statement...Ch. 3.2 - Prob. 10CVCCh. 3.2 - Fill in each blank so that the resulting statement...Ch. 3.2 - Prob. 12CVCCh. 3.2 - Prob. 13CVCCh. 3.2 - In Exercises 110, determine which functions are...Ch. 3.2 - Prob. 2ECh. 3.2 - Prob. 3ECh. 3.2 - Prob. 4ECh. 3.2 - Prob. 5ECh. 3.2 - Prob. 6ECh. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Prob. 10ECh. 3.2 - Prob. 11ECh. 3.2 - Prob. 12ECh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - In Exercises 15-18, use the Leading Coefficient...Ch. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - In Exercises 1924, use the Leading Coefficient...Ch. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.2 - Prob. 48ECh. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.2 - Prob. 54ECh. 3.2 - Prob. 55ECh. 3.2 - In Exercises 4164, a. Use the Leading Coefficient...Ch. 3.2 - Prob. 57ECh. 3.2 - Prob. 58ECh. 3.2 - Prob. 59ECh. 3.2 - Prob. 60ECh. 3.2 - Prob. 61ECh. 3.2 - Prob. 62ECh. 3.2 - Prob. 63ECh. 3.2 - Prob. 64ECh. 3.2 - Prob. 65ECh. 3.2 - Prob. 66ECh. 3.2 - Prob. 67ECh. 3.2 - Prob. 68ECh. 3.2 - Prob. 69ECh. 3.2 - Prob. 70ECh. 3.2 - Pratice Plus In Exercises 65-72, complete graphs...Ch. 3.2 - Pratice Plus In Exercises 65-72, complete graphs...Ch. 3.2 - Prob. 73ECh. 3.2 - Prob. 74ECh. 3.2 - During a diagnostic evaluation, a 33-year-old...Ch. 3.2 - Prob. 76ECh. 3.2 - Prob. 77ECh. 3.2 - Prob. 78ECh. 3.2 - Prob. 79ECh. 3.2 - Prob. 80ECh. 3.2 - Explaining the Concepts 81. Why is a third-degree...Ch. 3.2 - Prob. 82ECh. 3.2 - Prob. 83ECh. 3.2 - Prob. 84ECh. 3.2 - Prob. 85ECh. 3.2 - Prob. 86ECh. 3.2 - Prob. 87ECh. 3.2 - Prob. 88ECh. 3.2 - Prob. 89ECh. 3.2 - Prob. 90ECh. 3.2 - Prob. 91ECh. 3.2 - Prob. 92ECh. 3.2 - Prob. 93ECh. 3.2 - Prob. 94ECh. 3.2 - Prob. 95ECh. 3.2 - Prob. 96ECh. 3.2 - Prob. 97ECh. 3.2 - Prob. 98ECh. 3.2 - Prob. 99ECh. 3.2 - Make Sense? In Exercises 100-103, determine...Ch. 3.2 - Prob. 101ECh. 3.2 - Prob. 102ECh. 3.2 - Prob. 103ECh. 3.2 - In Exercises 104-107, determine whether each...Ch. 3.2 - In Exercises 104-107, determine whether each...Ch. 3.2 - Prob. 106ECh. 3.2 - Prob. 107ECh. 3.2 - Prob. 108ECh. 3.2 - Prob. 109ECh. 3.2 - Prob. 110ECh. 3.2 - Prob. 111ECh. 3.2 - Prob. 112ECh. 3.2 - Prob. 113ECh. 3.2 - Preview Exercises Exercises 113-115 will help you...Ch. 3.2 - Prob. 115ECh. 3.3 - Divide x2+14x+45 by x+9.Ch. 3.3 - Prob. 2CPCh. 3.3 - Prob. 3CPCh. 3.3 - Use synthetic division to divide x37x6 by x+2.Ch. 3.3 - Prob. 5CPCh. 3.3 - Prob. 6CPCh. 3.3 - Fill in each blank so that the resulting statement...Ch. 3.3 - Consider the following long division problem:...Ch. 3.3 - Prob. 3CVCCh. 3.3 - In the following long division problem, the first...Ch. 3.3 - In the following long division problem, most of...Ch. 3.3 - Prob. 6CVCCh. 3.3 - Prob. 7CVCCh. 3.3 - Prob. 8CVCCh. 3.3 - Prob. 9CVCCh. 3.3 - Prob. 10CVCCh. 3.3 - Prob. 11CVCCh. 3.3 - Prob. 1ECh. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Prob. 5ECh. 3.3 - Prob. 6ECh. 3.3 - Prob. 7ECh. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Prob. 12ECh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - In Exercises 33-40, use synthetic division and the...Ch. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - In Exercises 33-40, use synthetic division and the...Ch. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - In Exercises 47-50, use the graph or the table to...Ch. 3.3 - Prob. 51ECh. 3.3 - Prob. 52ECh. 3.3 - In Exercises 53-54, write a polynomial that...Ch. 3.3 - In Exercises 53-54, write a polynomial that...Ch. 3.3 - During the 1980s, the controversial economist...Ch. 3.3 - Prob. 56ECh. 3.3 - Prob. 57ECh. 3.3 - Prob. 58ECh. 3.3 - Prob. 59ECh. 3.3 - Prob. 60ECh. 3.3 - Prob. 61ECh. 3.3 - Prob. 62ECh. 3.3 - Prob. 63ECh. 3.3 - Prob. 64ECh. 3.3 - Prob. 65ECh. 3.3 - Prob. 66ECh. 3.3 - Prob. 67ECh. 3.3 - Prob. 68ECh. 3.3 - Prob. 69ECh. 3.3 - Prob. 70ECh. 3.3 - Prob. 71ECh. 3.3 - Prob. 72ECh. 3.3 - Prob. 73ECh. 3.3 - Prob. 74ECh. 3.3 - Prob. 75ECh. 3.3 - Prob. 76ECh. 3.3 - Prob. 77ECh. 3.3 - Prob. 78ECh. 3.3 - Prob. 79ECh. 3.3 - Prob. 80ECh. 3.3 - Find the inverse of f(x)=x10x+10. (Section 2.7,...Ch. 3.3 - Exercises 8284 will help you prepare for the...Ch. 3.3 - Exercises 8284 will help you prepare for the...Ch. 3.3 - Let f(x) = an(x4 3x2 4). If f(3) = 150,...Ch. 3.4 - List all possible rational zeros of f(x) = x3 +...Ch. 3.4 - Prob. 2CPCh. 3.4 - Prob. 3CPCh. 3.4 - Prob. 4CPCh. 3.4 - Prob. 5CPCh. 3.4 - Prob. 6CPCh. 3.4 - Prob. 7CPCh. 3.4 - Prob. 1CVCCh. 3.4 - Prob. 2CVCCh. 3.4 - Prob. 3CVCCh. 3.4 - Prob. 4CVCCh. 3.4 - Prob. 5CVCCh. 3.4 - Fill in each blank so that the resulting statement...Ch. 3.4 - Prob. 7CVCCh. 3.4 - Prob. 8CVCCh. 3.4 - Prob. 9CVCCh. 3.4 - Prob. 10CVCCh. 3.4 - In Exercises 1-8, use the Rational Zero Theorem to...Ch. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.4 - Prob. 5ECh. 3.4 - Prob. 6ECh. 3.4 - Prob. 7ECh. 3.4 - Prob. 8ECh. 3.4 - In Exercises 9-16, a. List all possible rational...Ch. 3.4 - Prob. 10ECh. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - In Exercises 2532, find an nth-degree polynomial...Ch. 3.4 - Prob. 27ECh. 3.4 - In Exercises 2532, find an nth-degree polynomial...Ch. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.4 - In Exercises 3952, find all zeros of the...Ch. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - In Exercises 3952, find all zeros of the...Ch. 3.4 - Prob. 51ECh. 3.4 - Prob. 52ECh. 3.4 - Prob. 53ECh. 3.4 - Prob. 54ECh. 3.4 - Prob. 55ECh. 3.4 - Prob. 56ECh. 3.4 - Prob. 57ECh. 3.4 - Prob. 58ECh. 3.4 - Prob. 59ECh. 3.4 - Prob. 60ECh. 3.4 - Prob. 61ECh. 3.4 - Prob. 62ECh. 3.4 - Prob. 63ECh. 3.4 - Prob. 64ECh. 3.4 - Prob. 65ECh. 3.4 - Prob. 66ECh. 3.4 - Prob. 67ECh. 3.4 - Prob. 68ECh. 3.4 - Why must every polynomial equation with real...Ch. 3.4 - Prob. 70ECh. 3.4 - Prob. 71ECh. 3.4 - The equations in Exercises 7275 have real roots...Ch. 3.4 - The equations in Exercises 7275 have real roots...Ch. 3.4 - Prob. 74ECh. 3.4 - Prob. 75ECh. 3.4 - Prob. 76ECh. 3.4 - Prob. 77ECh. 3.4 - Prob. 78ECh. 3.4 - Prob. 79ECh. 3.4 - Prob. 80ECh. 3.4 - Prob. 81ECh. 3.4 - Prob. 82ECh. 3.4 - Make Sense? In Exercises 8386, determine whether...Ch. 3.4 - Make Sense? In Exercises 8386, determine whether...Ch. 3.4 - Prob. 85ECh. 3.4 - Prob. 86ECh. 3.4 - In Exercises 8790, determine whether each...Ch. 3.4 - Prob. 88ECh. 3.4 - Prob. 89ECh. 3.4 - Prob. 90ECh. 3.4 - Prob. 91ECh. 3.4 - In this exercise, we lead you through the steps...Ch. 3.4 - Prob. 93ECh. 3.4 - In Exercises 9396, the graph of a polynomial...Ch. 3.4 - Prob. 95ECh. 3.4 - Prob. 96ECh. 3.4 - Prob. 97ECh. 3.4 - Prob. 98ECh. 3.4 - Prob. 99ECh. 3.4 - Prob. 100ECh. 3.4 - Prob. 101ECh. 3.4 - Prob. 102ECh. 3.4 - Prob. 103ECh. 3.5 - Find the domain of each rational function: a....Ch. 3.5 - Prob. 2CPCh. 3.5 - Prob. 3CPCh. 3.5 - Prob. 4CPCh. 3.5 - Prob. 5CPCh. 3.5 - Graph: f(x)=2x2x29.Ch. 3.5 - Prob. 7CPCh. 3.5 - Prob. 8CPCh. 3.5 - Prob. 9CPCh. 3.5 - Prob. 1CVCCh. 3.5 - Fill in each blank so that the resulting statement...Ch. 3.5 - Fill in each blank so that the resulting statement...Ch. 3.5 - Prob. 4CVCCh. 3.5 - Fill in each blank so that the resulting statement...Ch. 3.5 - Prob. 6CVCCh. 3.5 - Prob. 7CVCCh. 3.5 - Prob. 8CVCCh. 3.5 - Prob. 9CVCCh. 3.5 - Prob. 1ECh. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - Prob. 5ECh. 3.5 - Prob. 6ECh. 3.5 - Prob. 7ECh. 3.5 - Prob. 8ECh. 3.5 - Prob. 9ECh. 3.5 - Use the graph of the rational function in the...Ch. 3.5 - Prob. 11ECh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Use the graph of the rational function in the...Ch. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - In Exercises 2136, find the vertical asymptotes,...Ch. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 24ECh. 3.5 - Prob. 25ECh. 3.5 - In Exercises 2136, find the vertical asymptotes,...Ch. 3.5 - Prob. 27ECh. 3.5 - In Exercises 2136, find the vertical asymptotes,...Ch. 3.5 - Prob. 29ECh. 3.5 - Prob. 30ECh. 3.5 - In Exercises 2136, find the vertical asymptotes,...Ch. 3.5 - Prob. 32ECh. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Prob. 36ECh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - Prob. 39ECh. 3.5 - Prob. 40ECh. 3.5 - Prob. 41ECh. 3.5 - Prob. 42ECh. 3.5 - Prob. 43ECh. 3.5 - Prob. 44ECh. 3.5 - Prob. 45ECh. 3.5 - Prob. 46ECh. 3.5 - Prob. 47ECh. 3.5 - Prob. 48ECh. 3.5 - Prob. 49ECh. 3.5 - Prob. 50ECh. 3.5 - Prob. 51ECh. 3.5 - Prob. 52ECh. 3.5 - Prob. 53ECh. 3.5 - Prob. 54ECh. 3.5 - Prob. 55ECh. 3.5 - Prob. 56ECh. 3.5 - Prob. 57ECh. 3.5 - In Exercises 5780, follow the seven steps on page...Ch. 3.5 - In Exercises 5780, follow the seven steps on page...Ch. 3.5 - Prob. 60ECh. 3.5 - Prob. 61ECh. 3.5 - Prob. 62ECh. 3.5 - Prob. 63ECh. 3.5 - In Exercises 5780, follow the seven steps on page...Ch. 3.5 - Prob. 65ECh. 3.5 - In Exercises 5780, follow the seven steps on page...Ch. 3.5 - Prob. 67ECh. 3.5 - Prob. 68ECh. 3.5 - Prob. 69ECh. 3.5 - Prob. 70ECh. 3.5 - In Exercises 5780, follow the seven steps on page...Ch. 3.5 - Prob. 72ECh. 3.5 - Prob. 73ECh. 3.5 - In Exercises 5780, follow the seven steps on page...Ch. 3.5 - Prob. 75ECh. 3.5 - Prob. 76ECh. 3.5 - In Exercises 5780, follow the seven steps on page...Ch. 3.5 - Prob. 78ECh. 3.5 - Prob. 79ECh. 3.5 - Prob. 80ECh. 3.5 - Prob. 81ECh. 3.5 - Prob. 82ECh. 3.5 - In Exercises 8188, a. Find the slant asymptote of...Ch. 3.5 - In Exercises 8188, a. Find the slant asymptote of...Ch. 3.5 - Prob. 85ECh. 3.5 - In Exercises 8188, a. Find the slant asymptote of...Ch. 3.5 - Prob. 87ECh. 3.5 - In Exercises 8188, a. Find the slant asymptote of...Ch. 3.5 - Prob. 89ECh. 3.5 - In Exercises 8994, the equation for f is given by...Ch. 3.5 - Prob. 91ECh. 3.5 - Practice Plus In Exercises 8994, the equation for...Ch. 3.5 - Practice Plus In Exercises 8994, the equation for...Ch. 3.5 - Prob. 94ECh. 3.5 - Prob. 95ECh. 3.5 - Prob. 96ECh. 3.5 - Prob. 97ECh. 3.5 - Prob. 98ECh. 3.5 - A company is planning to manufacture mountain...Ch. 3.5 - A company that manufactures running shoes has a...Ch. 3.5 - The function f(x)=6.5x220.4x+234x2+36 models the...Ch. 3.5 - A drug is injected into a patient and the...Ch. 3.5 - Among all deaths from a particular disease, the...Ch. 3.5 - Among all deaths from a particular disease, the...Ch. 3.5 - Prob. 105ECh. 3.5 - Prob. 106ECh. 3.5 - Prob. 107ECh. 3.5 - Prob. 108ECh. 3.5 - Prob. 109ECh. 3.5 - Prob. 110ECh. 3.5 - Prob. 111ECh. 3.5 - Prob. 112ECh. 3.5 - Prob. 113ECh. 3.5 - Prob. 114ECh. 3.5 - Is every rational function a polynomial function?...Ch. 3.5 - Although your friend has a family history of heart...Ch. 3.5 - Prob. 117ECh. 3.5 - Prob. 118ECh. 3.5 - Prob. 119ECh. 3.5 - Prob. 120ECh. 3.5 - Prob. 121ECh. 3.5 - Prob. 122ECh. 3.5 - Prob. 123ECh. 3.5 - Make Sense? In Exercises 122125, determine whether...Ch. 3.5 - Make Sense? In Exercises 122125, determine whether...Ch. 3.5 - Prob. 126ECh. 3.5 - In Exercises 126129, determine whether each...Ch. 3.5 - Prob. 128ECh. 3.5 - In Exercises 126129, determine whether each...Ch. 3.5 - Prob. 130ECh. 3.5 - In Exercises 130133, write the equation of a...Ch. 3.5 - In Exercises 130133, write the equation of a...Ch. 3.5 - Prob. 133ECh. 3.5 - Prob. 134ECh. 3.5 - Prob. 135ECh. 3.5 - Prob. 136ECh. 3.5 - Prob. 137ECh. 3.5 - Prob. 138ECh. 3.5 - Prob. 139ECh. 3.6 - Solve and graph the solution set: x2 x 20.Ch. 3.6 - Prob. 2CPCh. 3.6 - Prob. 3CPCh. 3.6 - Prob. 4CPCh. 3.6 - An object is propelled straight up from ground...Ch. 3.6 - Prob. 1CVCCh. 3.6 - Prob. 2CVCCh. 3.6 - Fill in each blank so that the resulting statement...Ch. 3.6 - Prob. 4CVCCh. 3.6 - Prob. 5CVCCh. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Prob. 5ECh. 3.6 - Prob. 6ECh. 3.6 - Prob. 7ECh. 3.6 - Prob. 8ECh. 3.6 - Prob. 9ECh. 3.6 - Prob. 10ECh. 3.6 - Prob. 11ECh. 3.6 - Solve each polynomial inequality in Exercises 1-42...Ch. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 19ECh. 3.6 - Prob. 20ECh. 3.6 - Prob. 21ECh. 3.6 - Prob. 22ECh. 3.6 - Prob. 23ECh. 3.6 - Prob. 24ECh. 3.6 - Prob. 25ECh. 3.6 - Prob. 26ECh. 3.6 - Prob. 27ECh. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - Prob. 30ECh. 3.6 - Prob. 31ECh. 3.6 - Prob. 32ECh. 3.6 - Prob. 33ECh. 3.6 - Prob. 34ECh. 3.6 - Prob. 35ECh. 3.6 - Prob. 36ECh. 3.6 - Prob. 37ECh. 3.6 - Prob. 38ECh. 3.6 - Solve each polynomial inequality in Exercises 142...Ch. 3.6 - Solve each polynomial inequality in Exercises 142...Ch. 3.6 - Prob. 41ECh. 3.6 - Prob. 42ECh. 3.6 - Prob. 43ECh. 3.6 - Prob. 44ECh. 3.6 - Prob. 45ECh. 3.6 - Prob. 46ECh. 3.6 - Prob. 47ECh. 3.6 - Prob. 48ECh. 3.6 - Prob. 49ECh. 3.6 - Prob. 50ECh. 3.6 - Prob. 51ECh. 3.6 - Prob. 52ECh. 3.6 - Prob. 53ECh. 3.6 - Prob. 54ECh. 3.6 - Solve each rational inequality in Exercises 4360...Ch. 3.6 - Prob. 56ECh. 3.6 - Prob. 57ECh. 3.6 - Prob. 58ECh. 3.6 - Prob. 59ECh. 3.6 - Solve each rational inequality in Exercises 4360...Ch. 3.6 - Prob. 61ECh. 3.6 - Prob. 62ECh. 3.6 - Prob. 63ECh. 3.6 - Prob. 64ECh. 3.6 - Solve each inequality in Exercises 6570 and graph...Ch. 3.6 - Solve each inequality in Exercises 6570 and graph...Ch. 3.6 - Prob. 67ECh. 3.6 - Prob. 68ECh. 3.6 - Prob. 69ECh. 3.6 - Prob. 70ECh. 3.6 - Prob. 71ECh. 3.6 - Prob. 72ECh. 3.6 - Prob. 73ECh. 3.6 - Prob. 74ECh. 3.6 - Use the position function s(t)=16t2+v0t+s0 (v0 =...Ch. 3.6 - Use the position function s(t)=16t2+v0t+s0 (v0 =...Ch. 3.6 - Prob. 77ECh. 3.6 - Prob. 78ECh. 3.6 - The perimeter of a rectangle is 50 feet. Describe...Ch. 3.6 - Prob. 80ECh. 3.6 - Prob. 81ECh. 3.6 - Prob. 82ECh. 3.6 - Prob. 83ECh. 3.6 - Use a graphing utility to verify your solution...Ch. 3.6 - Use a graphing utility to verify your solution...Ch. 3.6 - Prob. 86ECh. 3.6 - Prob. 87ECh. 3.6 - Prob. 88ECh. 3.6 - Prob. 89ECh. 3.6 - Prob. 90ECh. 3.6 - Prob. 91ECh. 3.6 - Prob. 92ECh. 3.6 - Prob. 93ECh. 3.6 - Make Sense? In Exercises 9497, determine whether...Ch. 3.6 - Make Sense? In Exercises 9497, determine whether...Ch. 3.6 - Prob. 96ECh. 3.6 - Prob. 97ECh. 3.6 - Prob. 98ECh. 3.6 - Prob. 99ECh. 3.6 - Prob. 100ECh. 3.6 - Prob. 101ECh. 3.6 - Write a polynomial inequality whose solution set...Ch. 3.6 - Write a rational inequality whose solution set is...Ch. 3.6 - Prob. 104ECh. 3.6 - Prob. 105ECh. 3.6 - Prob. 106ECh. 3.6 - Prob. 107ECh. 3.6 - Prob. 108ECh. 3.6 - Prob. 109ECh. 3.6 - Prob. 110ECh. 3.6 - Prob. 111ECh. 3.6 - Prob. 112ECh. 3.6 - Prob. 113ECh. 3.6 - Prob. 114ECh. 3.6 - Prob. 115ECh. 3.7 - The number of gallons of water, W, used when...Ch. 3.7 - The weight of a great white shark varies directly...Ch. 3.7 - Prob. 3CPCh. 3.7 - Prob. 4CPCh. 3.7 - The volume of a cone, V, varies jointly as its...Ch. 3.7 - Fill in each blank so that the resulting statement...Ch. 3.7 - Fill in each blank so that the resulting statement...Ch. 3.7 - Prob. 3CVCCh. 3.7 - Prob. 4CVCCh. 3.7 - Prob. 5CVCCh. 3.7 - Prob. 6CVCCh. 3.7 - Prob. 7CVCCh. 3.7 - Prob. 1ECh. 3.7 - Prob. 2ECh. 3.7 - Prob. 3ECh. 3.7 - Prob. 4ECh. 3.7 - Prob. 5ECh. 3.7 - Prob. 6ECh. 3.7 - Use the four-step procedure for solving variation...Ch. 3.7 - Prob. 8ECh. 3.7 - Prob. 9ECh. 3.7 - Use the four-step procedure for solving variation...Ch. 3.7 - Prob. 11ECh. 3.7 - Prob. 12ECh. 3.7 - Prob. 13ECh. 3.7 - In Exercises 1120, write an equation that...Ch. 3.7 - Prob. 15ECh. 3.7 - Prob. 16ECh. 3.7 - In Exercises 1120, write an equation that...Ch. 3.7 - In Exercises 1120, write an equation that...Ch. 3.7 - In Exercises 1120, write an equation that...Ch. 3.7 - Prob. 20ECh. 3.7 - Prob. 21ECh. 3.7 - Prob. 22ECh. 3.7 - Prob. 23ECh. 3.7 - Prob. 24ECh. 3.7 - Prob. 25ECh. 3.7 - Prob. 26ECh. 3.7 - Prob. 27ECh. 3.7 - Use the four-step procedure for solving variation...Ch. 3.7 - Prob. 29ECh. 3.7 - Prob. 30ECh. 3.7 - Use the four-step procedure for solving variation...Ch. 3.7 - Prob. 32ECh. 3.7 - Prob. 33ECh. 3.7 - Prob. 34ECh. 3.7 - Prob. 35ECh. 3.7 - Prob. 36ECh. 3.7 - Prob. 37ECh. 3.7 - Prob. 38ECh. 3.7 - Prob. 39ECh. 3.7 - Prob. 40ECh. 3.7 - Prob. 41ECh. 3.7 - Prob. 42ECh. 3.7 - Explaining the Concepts 43. Explain what is meant...Ch. 3.7 - Prob. 44ECh. 3.7 - Prob. 45ECh. 3.7 - Prob. 46ECh. 3.7 - Explaining the Concepts 47. We have seen that the...Ch. 3.7 - Prob. 48ECh. 3.7 - Prob. 49ECh. 3.7 - Make Sense? In Exercises 4952, determine whether...Ch. 3.7 - Make Sense? In Exercises 4952, determine whether...Ch. 3.7 - Prob. 52ECh. 3.7 - Prob. 53ECh. 3.7 - The illumination from a light source varies...Ch. 3.7 - The heat generated by a stove element varies...Ch. 3.7 - Prob. 56ECh. 3.7 - Prob. 58ECh. 3.7 - Prob. 59ECh. 3.7 - Find the inverse of f(x) = x3 + 2. (Section 2.7,...Ch. 3.7 - Prob. 61ECh. 3.7 - Prob. 62ECh. 3.7 - Prob. 63ECh. 3 - In Exercises 1-4, graph the given quadratic...Ch. 3 - Prob. 2MCCh. 3 - Prob. 3MCCh. 3 - Prob. 4MCCh. 3 - Prob. 5MCCh. 3 - Prob. 6MCCh. 3 - Prob. 7MCCh. 3 - Prob. 8MCCh. 3 - Prob. 9MCCh. 3 - Prob. 10MCCh. 3 - Prob. 11MCCh. 3 - Prob. 12MCCh. 3 - In Exercises 5-13, find all zeros of each...Ch. 3 - Prob. 14MCCh. 3 - Prob. 15MCCh. 3 - Prob. 16MCCh. 3 - Prob. 17MCCh. 3 - Prob. 18MCCh. 3 - Prob. 19MCCh. 3 - Prob. 20MCCh. 3 - Among all pairs of numbers whose sum is 18, find a...Ch. 3 - Prob. 22MCCh. 3 - Prob. 23MCCh. 3 - Prob. 24MCCh. 3 - Prob. 25MCCh. 3 - Prob. 26MCCh. 3 - Prob. 27MCCh. 3 - Prob. 28MCCh. 3 - Prob. 1RECh. 3 - Prob. 2RECh. 3 - In Exercises 14, use the vertex and intercepts to...Ch. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - A quarterback tosses a football to a receiver 40...Ch. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - In Exercises 1013, use the Leading Coefficient...Ch. 3 - Prob. 13RECh. 3 - The Brazilian Amazon rain forest is the worlds...Ch. 3 - The polynomial function...Ch. 3 - In Exercises 1617, find the zeros for each...Ch. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - Prob. 20RECh. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - Prob. 24RECh. 3 - Prob. 25RECh. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - Prob. 29RECh. 3 - Prob. 30RECh. 3 - Prob. 31RECh. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - Prob. 35RECh. 3 - In Exercises 3536, use the Rational Zero Theorem...Ch. 3 - In Exercises 3738, use Descartess Rule of Signs to...Ch. 3 - Prob. 38RECh. 3 - Prob. 39RECh. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Prob. 42RECh. 3 - Prob. 43RECh. 3 - For Exercises 4046, a.List all possible rational...Ch. 3 - For Exercises 4046, a.List all possible rational...Ch. 3 - For Exercises 4046, a.List all possible rational...Ch. 3 - In Exercises 4748, find an nth-degree polynomial...Ch. 3 - In Exercises 4748, find an nth-degree polynomial...Ch. 3 - Prob. 49RECh. 3 - Prob. 50RECh. 3 - Prob. 51RECh. 3 - Prob. 52RECh. 3 - Prob. 53RECh. 3 - Prob. 54RECh. 3 - Prob. 55RECh. 3 - Prob. 56RECh. 3 - Prob. 57RECh. 3 - Prob. 58RECh. 3 - Prob. 59RECh. 3 - Prob. 60RECh. 3 - Prob. 61RECh. 3 - Prob. 62RECh. 3 - Prob. 63RECh. 3 - Prob. 64RECh. 3 - Prob. 65RECh. 3 - Prob. 66RECh. 3 - Prob. 67RECh. 3 - Prob. 68RECh. 3 - Prob. 69RECh. 3 - Prob. 70RECh. 3 - Prob. 71RECh. 3 - Prob. 72RECh. 3 - Prob. 73RECh. 3 - Prob. 74RECh. 3 - The graph shows stopping distances for motorcycles...Ch. 3 - Use the position function s(t) = 16t2 + v0t + s0...Ch. 3 - Prob. 77RECh. 3 - Prob. 78RECh. 3 - Prob. 79RECh. 3 - Prob. 80RECh. 3 - Prob. 81RECh. 3 - The volume of a pyramid varies jointly as its...Ch. 3 - Prob. 83RECh. 3 - Prob. 1TCh. 3 - Prob. 2TCh. 3 - Prob. 3TCh. 3 - Prob. 4TCh. 3 - Prob. 5TCh. 3 - Prob. 6TCh. 3 - Prob. 7TCh. 3 - The graph of f(x) = 6x3 19x2 + 16x 4 is shown in...Ch. 3 - Prob. 9TCh. 3 - Use Descartess Rule of Signs to determine the...Ch. 3 - Prob. 11TCh. 3 - Prob. 12TCh. 3 - Prob. 13TCh. 3 - Prob. 14TCh. 3 - Prob. 15TCh. 3 - Prob. 16TCh. 3 - Prob. 17TCh. 3 - Prob. 18TCh. 3 - Prob. 19TCh. 3 - Prob. 20TCh. 3 - Prob. 21TCh. 3 - Prob. 22TCh. 3 - Prob. 23TCh. 3 - Prob. 24TCh. 3 - Prob. 25TCh. 3 - Prob. 1CRECh. 3 - Prob. 2CRECh. 3 - Prob. 3CRECh. 3 - Prob. 4CRECh. 3 - Prob. 5CRECh. 3 - Prob. 6CRECh. 3 - Prob. 7CRECh. 3 - In Exercises 712, solve each equation or...Ch. 3 - Prob. 9CRECh. 3 - Prob. 10CRECh. 3 - In Exercises 712, solve each equation or...Ch. 3 - Prob. 12CRECh. 3 - Prob. 13CRECh. 3 - Prob. 14CRECh. 3 - Prob. 15CRECh. 3 - Prob. 16CRECh. 3 - Prob. 17CRECh. 3 - Prob. 18CRECh. 3 - Prob. 19CRECh. 3 - Prob. 20CRECh. 3 - Prob. 21CRE
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- The graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. (a) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" s necessary. 믐 마믐 -미 DandO (0,0) None Vertical asymptote(s): [0,0) (0,0) [0,0) Horizontal asymptote(s): OUO 00 |(b) Find all x-intercepts and y-intercepts. Check all that apply. -00 r-intercept(s): 03 O-4 O-2 O None y-intercept(s): 01 O-2 00 O None (c) Find the domain and range of f. Write each ansv as an interval or union of intervals. Domain: Range:arrow_forwardIn Exercises 81-88, a. Find the slant asymptote of the graph of each rational function and b. Follow the seven-step strategy and use the slant asymptote to graph each rational function. x2 - 1 x2 - 4 81. f(x) : 82. (x) = x + 1 x² + 4 84. f(x) = 83. f(х) x² - x + 1 Ax) = x² + x - 6 85. f(x) 86. f(x) %3D x - 3 x +1 87. f(x) =2+ 2x X - 1 x - 1 88. f(x) = x - 9arrow_forwardFor each rational function. Identify any holes or horizontal or vertical asymptotes of its grapharrow_forward
- 3) Below is a complete graph of the rational function f(x). The numerator and denominator of f are polynomials of degree 2, and all asymptotes and intercepts of f are at integer values. Find all intercepts, asymptotes, and the domain of the function f. Find the formula of the function f. -15 -10 (-4.0) 10 0 -10 (1.0) (0:2) 10arrow_forwardThe graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. (a) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. 믐 마믐 D=0 DandO (0,0) None У Vertical asymptote(s): [□.미 (0.미 [미,미) [0,0) 6. Horizontal asymptote(s): L OUO 2. (b) Find the domain and range of f. Write each answer as an interval or union of intervals. -8 -6 4 -2 -2- Domain: -4- -6- Range: -8 (c) Find all x-intercepts and y-intercepts. Check all that apply. х- 5 None intercept(s): y- 5 None intercept(s):arrow_forwardSpecify the x- and y-intercepts, specify the vertical and horizontal asymptotes (if any), and then sketch the graph of the following function using the techniques from Section 3.6. Also, state the domain and range using interval notation. s(x) = x+4 (x+7)(x-1) Its a fraction.arrow_forward
- stem Roots ials What would be the list of possible rational numbers for f(x)? x³ + 3x² 6x 8=0 Arrange your list from smallest to largest = + [?], [ ], [ ] [ ] PR Copyright © 2003 2022 International Academy of Sciencs, All Rights [?], [4] DELL D Enter O Find. 0arrow_forwardGraph the functions on the same screen using the given viewing rectangle. Viewing rectangle [−8, 8] by [−2, 8](a) y = 4 x (b) y = 4 x + 6 (c) y = 2 4 x + 6 (d) y = 3 + 2 4 x + 6 How is the graph in part (b) related to the graph in part (a)? If a graph is not supposed to be stretched or shrunk, enter "1" in the corresponding box on the right. If a graph is not supposed to be shifted in some direction, enter "0" in the corresponding box on the right.arrow_forward15. Find all vertical asymptotes of the function x³ - 25x 24-x3-20.x² می g(x) = (a) x = -5, x = 0, and x = 5 (b) = -4 and x = 0 (c) x = -4 and x = 5 (d) x = 4 and x = -5 I (e) x = -4, x = 0, and x = 5 15A 15B 15C 15D 15Earrow_forward
- List all possible rational roots for the function f(x)=5x^4+9x^3+3x^2+6x+65. Give your list in increasing order. Beside each possible rational root, type "yes" if it is a root and "no" if it is not a root. Leave any unnecessary answer blanks empty.Possible rational root:______ Is it a root?____Possible rational root:______ Is it a root?_____Possible rational root:______ Is it a root?____Possible rational root:______ Is it a root?____Possible rational root:______ Is it a root?____Possible rational root:______ Is it a root?____Possible rational root:_____ Is it a root?_____Possible rational root:______Is it a root?____Possible rational root:______ Is it a root?____Possible rational root:______ Is it a root?____Possible rational root:______ Is it a root?____Possible rational root:______ Is it a root?____arrow_forwardwrite a rational function that has a vertical asymptote when x=3, a horizontal asymptote when y=2, and has a y-intercept of (0,6)arrow_forwardThe graph of a rational function f is shown below. Assume that all asymptotes and intercepts are shown and that the graph has no "holes". Use the graph to complete the following. (a) Write the equations for all vertical and horizontal asymptotes. Enter the equations using the "and" button as necessary. Select "None" as necessary. 믐 마음 0-0 DandO (□,미) None Vertical asymptote(s): [0.0) (0,0) (0,0) Horizontal asymptote(s): O DUD (b) Find the domain and range of f. Write each answer as an interval or union of intervals. - 00 Domain: Range: (c) Find all x-intercepts and y-intercepts. Check all that apply. x-intercept(s): O-4 04 O -2 O None O None y-intercept(s): O-2arrow_forward
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