Precalculus Enhanced with Graphing Utilities
Precalculus Enhanced with Graphing Utilities
6th Edition
ISBN: 9780321795465
Author: Michael Sullivan, Michael III Sullivan
Publisher: PEARSON
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Chapter 4, Problem 6CT
To determine

The domain and any horizontal, vertical or oblique asymptotes of the rational function r(x)=x2+2x3x+1 .

Expert Solution & Answer
Check Mark

Answer to Problem 6CT

Solution:

The domain of the rational function is (,1)(1,) and the function has oblique asymptotey=x+1 and vertical asymptote is x=10 .

Explanation of Solution

Given information:

The rational function, r(x)=x2+2x3x+1

The domain of a rational function is set of all real numbers excepts those for which the denominator of the function is 0 .

For the rational function r(x)=x2+2x3x+1 , the denominator is q(x)=x+1 .

Therefore the values of x , for which the denominator of the rational function is 0 are the zeros of the function q(x) .

Set q(x)=0

  x+1=0

  x=1

Hence the denominator of the rational function is 0 , when the value of x is 1 .

Therefore, the domain of the function is the set of all real numbers except x=1 .

Thus, the domain of the rational function is {x|x1} .

In interval notation domain is (,1)(1,) .

Next, find the asymptotes of the rational function r(x) .

Here the rational function r(x)=x2+2x3x+1 is not in the lowest term.

Firstly, convert the rational function in the lowest term.

The numerator x2+2x3 can factor as (x1)(x+3) and the denominator x+1 .

  r(x)=x2+2x3x+1

  r(x)=(x1)(x+3)(x+1)

If xa is a factor of the denominator of r(x) , in lowest terms, then r(x) will have the vertical asymptote x=a .

Here, x+1 is a factor of the denominator of r(x) , then x=1 is a vertical asymptote.

Here the degree of numerator (x1)(x+3) is two and the degree of denominator x+1 is one, that means the degree of the numerator is one more than the degree of the denominator therefore the asymptote is oblique asymptote of the form y=mx+b .

The oblique asymptote for the rational function is the quotient of the polynomial division.

To find the oblique asymptote by using the polynomial division,

  x+1x+1x2+2x3x2+x_x3x+1_4

Here the quotient is x+1 and remainder is 4 .

Therefore, the oblique asymptote for the rational function is y=x+1 .

As the rational function is an equation of line, therefore it has no horizontal asymptote.

Chapter 4 Solutions

Precalculus Enhanced with Graphing Utilities

Ch. 4.1 - The points at which a graph changes direction...Ch. 4.1 - Prob. 12AYUCh. 4.1 - If f( x )=2 x 5 + x 3 5 x 2 +7 , then lim x f( x...Ch. 4.1 - Explain what the notation lim x f( x )= means.Ch. 4.1 - In Problems 17-28, determine which functions are...Ch. 4.1 - In Problems 17-28, determine which functions are...Ch. 4.1 - In Problems 17-28, determine which functions are...Ch. 4.1 - In Problems 17-28, determine which functions are...Ch. 4.1 - In Problems 17-28, determine which functions are...Ch. 4.1 - In Problems 17-28, determine which functions are...Ch. 4.1 - In Problems 17-28, determine which functions are...Ch. 4.1 - In Problems 17-28, determine which functions are...Ch. 4.1 - In Problems 17-28, determine which functions are...Ch. 4.1 - In Problems 17-28, determine which functions are...Ch. 4.1 - In Problems 17-28, determine which functions are...Ch. 4.1 - In Problems 17-28, determine which functions are...Ch. 4.1 - In Problems 29-42, use transformations of the...Ch. 4.1 - Prob. 28AYUCh. 4.1 - In Problems 29-42, use transformations of the...Ch. 4.1 - In Problems 29-42, use transformations of the...Ch. 4.1 - In Problems 29-42, use transformations of the...Ch. 4.1 - In Problems 29-42, use transformations of the...Ch. 4.1 - In Problems 29-42, use transformations of the...Ch. 4.1 - In Problems 29-42, use transformations of the...Ch. 4.1 - In Problems 29-42, use transformations of the...Ch. 4.1 - In Problems 29-42, use transformations of the...Ch. 4.1 - In Problems 29-42, use transformations of the...Ch. 4.1 - In Problems 29-42, use transformations of the...Ch. 4.1 - In Problems 29-42, use transformations of the...Ch. 4.1 - In Problems 29-42, use transformations of the...Ch. 4.1 - In Problems 43-50, form a polynomial function...Ch. 4.1 - In Problems 43-50, form a polynomial function...Ch. 4.1 - In Problems 43-50, form a polynomial function...Ch. 4.1 - In Problems 43-50, form a polynomial function...Ch. 4.1 - In Problems 43-50, form a polynomial function...Ch. 4.1 - In Problems 43-50, form a polynomial function...Ch. 4.1 - In Problems 43-50, form a polynomial function...Ch. 4.1 - In Problems 43-50, form a polynomial function...Ch. 4.1 - In Problems 57-68, for each polynomial function:...Ch. 4.1 - In Problems 57-68, for each polynomial function:...Ch. 4.1 - In Problems 57-68, for each polynomial function:...Ch. 4.1 - In Problems 57-68, for each polynomial function:...Ch. 4.1 - In Problems 57-68, for each polynomial function:...Ch. 4.1 - In Problems 57-68, for each polynomial function:...Ch. 4.1 - In Problems 57-68, for each polynomial function:...Ch. 4.1 - In Problems 57-68, for each polynomial function:...Ch. 4.1 - In Problems 57-68, for each polynomial function:...Ch. 4.1 - In Problems 57-68, for each polynomial function:...Ch. 4.1 - In Problems 57-68, for each polynomial function:...Ch. 4.1 - In Problems 57-68, for each polynomial function:...Ch. 4.1 - Prob. 61AYUCh. 4.1 - Prob. 62AYUCh. 4.1 - Prob. 63AYUCh. 4.1 - Prob. 64AYUCh. 4.1 - Prob. 65AYUCh. 4.1 - In Problems 73-76, construct a polynomial function...Ch. 4.1 - Prob. 67AYUCh. 4.1 - Prob. 68AYUCh. 4.1 - In Problems 77-80, write a polynomial function...Ch. 4.1 - In Problems 77-80, write a polynomial function...Ch. 4.1 - In Problems 77-80, write a polynomial function...Ch. 4.1 - In Problems 77-80, write a polynomial function...Ch. 4.1 - Prob. 73AYUCh. 4.1 - In Problems 81-98, analyze each polynomial...Ch. 4.1 - Prob. 75AYUCh. 4.1 - Prob. 76AYUCh. 4.1 - In Problems 81-98, analyze each polynomial...Ch. 4.1 - In Problems 81-98, analyze each polynomial...Ch. 4.1 - Prob. 79AYUCh. 4.1 - Prob. 80AYUCh. 4.1 - Prob. 81AYUCh. 4.1 - Prob. 82AYUCh. 4.1 - Prob. 83AYUCh. 4.1 - Prob. 84AYUCh. 4.1 - In Problems 81-98, analyze each polynomial...Ch. 4.1 - Prob. 86AYUCh. 4.1 - Prob. 87AYUCh. 4.1 - Prob. 88AYUCh. 4.1 - Prob. 89AYUCh. 4.1 - In Problems 81-98, analyze each polynomial...Ch. 4.1 - Prob. 91AYUCh. 4.1 - In Problems 99-106, analyze each polynomial...Ch. 4.1 - In Problems 99-106, analyze each polynomial...Ch. 4.1 - Prob. 94AYUCh. 4.1 - Prob. 95AYUCh. 4.1 - Prob. 96AYUCh. 4.1 - Prob. 97AYUCh. 4.1 - Prob. 98AYUCh. 4.1 - Prob. 99AYUCh. 4.1 - In Problems 107-114, analyze each polynomial...Ch. 4.1 - Prob. 101AYUCh. 4.1 - In Problems 107-114, analyze each polynomial...Ch. 4.1 - In Problems 107-114, analyze each polynomial...Ch. 4.1 - Prob. 104AYUCh. 4.1 - Prob. 105AYUCh. 4.1 - In Problems 107-114, analyze each polynomial...Ch. 4.1 - Prob. 107AYUCh. 4.1 - Prob. 108AYUCh. 4.1 - Prob. 109AYUCh. 4.1 - In Problems 115-118, construct a polynomial...Ch. 4.1 - G( x )= (x+3) 2 (x2) a. Identify the x-intercepts...Ch. 4.1 - h( x )=( x+2 ) ( x4 ) 3 a. Identify the...Ch. 4.1 - Prob. 113AYUCh. 4.1 - Prob. 114AYUCh. 4.1 - Prob. 115AYUCh. 4.1 - h( x )=( x+2 ) ( x4 ) 3 a. Identify the...Ch. 4.1 - Prob. 117AYUCh. 4.1 - Prob. 118AYUCh. 4.1 - Write a few paragraphs that provide a general...Ch. 4.1 - Prob. 120AYUCh. 4.1 - Make up two polynomials, not of the same degree,...Ch. 4.1 - Which of the following statements are true...Ch. 4.1 - Which of the following statements are true...Ch. 4.1 - The illustration shows the graph of a polynomial...Ch. 4.1 - Prob. 125AYUCh. 4.1 - Prob. 126AYUCh. 4.2 - 1. Find f( 1 ) if f( x )=2 x 2 xCh. 4.2 - 2. Factor the expression 6 x 2 +x-2Ch. 4.2 - 3. Find the quotient and remainder if 3 x 4 -5 x 3...Ch. 4.2 - Prob. 4AYUCh. 4.2 - 5. f( x )=q(x)g( x )+r(x) , the function r( x ) is...Ch. 4.2 - 6. When a polynomial function f is divided by x-c...Ch. 4.2 - 7. Given f( x )=3 x 4 -2 x 3 +7x-2 , how many sign...Ch. 4.2 - 8. True or False Every polynomial function of...Ch. 4.2 - 9. If f is a polynomial function and x4 is a...Ch. 4.2 - 10. True or False If f is a polynomial function of...Ch. 4.2 - In Problems 11-20, use the Remainder Theorem to...Ch. 4.2 - In Problems 11-20, use the Remainder Theorem to...Ch. 4.2 - In Problems 11-20, use the Remainder Theorem to...Ch. 4.2 - In Problems 11-20, use the Remainder Theorem to...Ch. 4.2 - In Problems 11-20, use the Remainder Theorem to...Ch. 4.2 - In Problems 11-20, use the Remainder Theorem to...Ch. 4.2 - Prob. 17AYUCh. 4.2 - In Problems 11-20, use the Remainder Theorem to...Ch. 4.2 - In Problems 11-20, use the Remainder Theorem to...Ch. 4.2 - In Problems 11-20, use the Remainder Theorem to...Ch. 4.2 - Prob. 21AYUCh. 4.2 - In Problems 33-44, determine the maximum number of...Ch. 4.2 - In Problems 33-44, determine the maximum number of...Ch. 4.2 - In Problems 33-44, determine the maximum number of...Ch. 4.2 - Prob. 25AYUCh. 4.2 - In Problems 33-44, determine the maximum number of...Ch. 4.2 - In Problems 33-44, determine the maximum number of...Ch. 4.2 - In Problems 33-44, determine the maximum number of...Ch. 4.2 - In Problems 33-44, determine the maximum number of...Ch. 4.2 - In Problems 33-44, determine the maximum number of...Ch. 4.2 - In Problems 33-44, determine the maximum number of...Ch. 4.2 - In Problems 33-44, determine the maximum number of...Ch. 4.2 - In Problems 45-50, find the bounds to the zeros of...Ch. 4.2 - In Problems 45-50, find the bounds to the zeros of...Ch. 4.2 - In Problems 45-50, find the bounds to the zeros of...Ch. 4.2 - In Problems 45-50, find the bounds to the zeros of...Ch. 4.2 - In Problems 45-50, find the bounds to the zeros of...Ch. 4.2 - In Problems 45-50, find the bounds to the zeros of...Ch. 4.2 - In Problems 51-68, find the real zeros of f. Use...Ch. 4.2 - In Problems 51-68, find the real zeros of f. Use...Ch. 4.2 - In Problems 51-68, find the real zeros of f. Use...Ch. 4.2 - In Problems 51-68, find the real zeros of f. Use...Ch. 4.2 - In Problems 51-68, find the real zeros of f. Use...Ch. 4.2 - In Problems 51-68, find the real zeros of f. Use...Ch. 4.2 - In Problems 51-68, find the real zeros of f. Use...Ch. 4.2 - In Problems 51-68, find the real zeros of f. Use...Ch. 4.2 - In Problems 51-68, find the real zeros of f. Use...Ch. 4.2 - Prob. 48AYUCh. 4.2 - Prob. 49AYUCh. 4.2 - Prob. 50AYUCh. 4.2 - In Problems 51-68, find the real zeros of f . Use...Ch. 4.2 - Prob. 52AYUCh. 4.2 - In Problems 51-68, find the real zeros of f . Use...Ch. 4.2 - Prob. 54AYUCh. 4.2 - Prob. 55AYUCh. 4.2 - Prob. 56AYUCh. 4.2 - In Problems 69-74, find the real zeros of f . If...Ch. 4.2 - In Problems 69-74, find the real zeros of f . If...Ch. 4.2 - In Problems 69-74, find the real zeros of f . If...Ch. 4.2 - Prob. 60AYUCh. 4.2 - Prob. 61AYUCh. 4.2 - Prob. 62AYUCh. 4.2 - In Problems 75-84, find the real solutions of each...Ch. 4.2 - In Problems 75-84, find the real solutions of each...Ch. 4.2 - In Problems 75-84, find the real solutions of each...Ch. 4.2 - Prob. 66AYUCh. 4.2 - Prob. 67AYUCh. 4.2 - Prob. 68AYUCh. 4.2 - Prob. 69AYUCh. 4.2 - Prob. 70AYUCh. 4.2 - Prob. 71AYUCh. 4.2 - Prob. 72AYUCh. 4.2 - Prob. 73AYUCh. 4.2 - Prob. 74AYUCh. 4.2 - Prob. 75AYUCh. 4.2 - Prob. 76AYUCh. 4.2 - Prob. 77AYUCh. 4.2 - Prob. 78AYUCh. 4.2 - In Problems 91-98, analyze each polynomial...Ch. 4.2 - In Problems 91-98, analyze each polynomial...Ch. 4.2 - In Problems 91-98, analyze each polynomial...Ch. 4.2 - In Problems 91-98, analyze each polynomial...Ch. 4.2 - In Problems 91-98, analyze each polynomial...Ch. 4.2 - In Problems 91-98, analyze each polynomial...Ch. 4.2 - In Problems 91-98, analyze each polynomial...Ch. 4.2 - In Problems 91-98, analyze each polynomial...Ch. 4.2 - Find k such that f( x )= x 3 k x 2 +kx+2 has the...Ch. 4.2 - Find k such that f( x )= x 4 k x 3 +k x 2 +1 has...Ch. 4.2 - Prob. 89AYUCh. 4.2 - Prob. 90AYUCh. 4.2 - Prob. 91AYUCh. 4.2 - Prob. 92AYUCh. 4.2 - Prob. 93AYUCh. 4.2 - Prob. 94AYUCh. 4.2 - Prob. 95AYUCh. 4.2 - Prob. 96AYUCh. 4.2 - Let f( x ) be a polynomial function whose...Ch. 4.2 - Prob. 98AYUCh. 4.2 - Prob. 99AYUCh. 4.2 - Prob. 100AYUCh. 4.2 - Prob. 101AYUCh. 4.2 - Prob. 102AYUCh. 4.2 - Is 2 3 a zero of f( x )= x 7 +6 x 5 x 4 +x+2 ?...Ch. 4.3 - 1. Find the sum and the product of the complex...Ch. 4.3 - Prob. 2AYUCh. 4.3 - 3. Every polynomial function of odd degree with...Ch. 4.3 - 4. If 3+4i is a zero of a polynomial function of...Ch. 4.3 - Prob. 5AYUCh. 4.3 - Prob. 6AYUCh. 4.3 - In Problems 7-16, information is given about a...Ch. 4.3 - In Problems 7-16, information is given about a...Ch. 4.3 - In Problems 7-16, information is given about a...Ch. 4.3 - In Problems 7-16, information is given about a...Ch. 4.3 - Prob. 11AYUCh. 4.3 - Prob. 12AYUCh. 4.3 - Prob. 13AYUCh. 4.3 - Prob. 14AYUCh. 4.3 - Prob. 15AYUCh. 4.3 - Prob. 16AYUCh. 4.3 - In Problems 17-22, form a polynomial function f( x...Ch. 4.3 - Prob. 18AYUCh. 4.3 - In Problems 17-22, form a polynomial function f( x...Ch. 4.3 - In Problems 17-22, form a polynomial function f( x...Ch. 4.3 - In Problems 17-22, form a polynomial function f( x...Ch. 4.3 - In Problems 17-22, form a polynomial function f( x...Ch. 4.3 - In Problems 23-30, use the given zero to find the...Ch. 4.3 - In Problems 23-30, use the given zero to find the...Ch. 4.3 - Prob. 25AYUCh. 4.3 - In Problems 23-30, use the given zero to find the...Ch. 4.3 - In Problems 23-30, use the given zero to find the...Ch. 4.3 - In Problems 23-30, use the given zero to find the...Ch. 4.3 - In Problems 23-30, use the given zero to find the...Ch. 4.3 - In Problems 23-30, use the given zero to find the...Ch. 4.3 - In Problems 31-40, find the complex zeros of each...Ch. 4.3 - Prob. 32AYUCh. 4.3 - In Problems 31-40, find the complex zeros of each...Ch. 4.3 - Prob. 34AYUCh. 4.3 - Prob. 35AYUCh. 4.3 - Prob. 36AYUCh. 4.3 - Prob. 37AYUCh. 4.3 - In Problems 31-40, find the complex zeros of each...Ch. 4.3 - Prob. 39AYUCh. 4.3 - Prob. 40AYUCh. 4.3 - Prob. 41AYUCh. 4.3 - Prob. 42AYUCh. 4.3 - Prob. 43AYUCh. 4.3 - Prob. 44AYUCh. 4.4 - True or False The quotient of two polynomial...Ch. 4.4 - What are the quotient and remainder when 3 x 4 x...Ch. 4.4 - Prob. 3AYUCh. 4.4 - Graph y=2 ( x+1 ) 2 3 using...Ch. 4.4 - True or False The domain of every rational...Ch. 4.4 - If, as x or as x , the values of R( x ) approach...Ch. 4.4 - If, as x approaches some number c , the values of...Ch. 4.4 - For a rational function R , if the degree of the...Ch. 4.4 - True or False The graph of a rational function may...Ch. 4.4 - True or False The graph of a rational function may...Ch. 4.4 - If a rational function is proper, then _____ is a...Ch. 4.4 - True or False If the degree of the numerator of a...Ch. 4.4 - If R( x )= p( x ) q( x ) is a rational function...Ch. 4.4 - Which type of asymptote, when it occurs, describes...Ch. 4.4 - In Problems 15-26, find the domain of each...Ch. 4.4 - In Problems 15-26, find the domain of each...Ch. 4.4 - In Problems 15-26, find the domain of each...Ch. 4.4 - In Problems 15-26, find the domain of each...Ch. 4.4 - In Problems 15-26, find the domain of each...Ch. 4.4 - In Problems 15-26, find the domain of each...Ch. 4.4 - In Problems 15-26, find the domain of each...Ch. 4.4 - In Problems 15-26, find the domain of each...Ch. 4.4 - In Problems 15-26, find the domain of each...Ch. 4.4 - In Problems 15-26, find the domain of each...Ch. 4.4 - Prob. 25AYUCh. 4.4 - Prob. 26AYUCh. 4.4 - Prob. 27AYUCh. 4.4 - Prob. 28AYUCh. 4.4 - Prob. 29AYUCh. 4.4 - Prob. 30AYUCh. 4.4 - In Problems 27-32, use the graph shown to find a....Ch. 4.4 - Prob. 32AYUCh. 4.4 - In Problems 33-44, (a) graph the rational function...Ch. 4.4 - In Problems 33-44, (a) graph the rational function...Ch. 4.4 - In Problems 33-44, (a) graph the rational function...Ch. 4.4 - In Problems 33-44, (a) graph the rational function...Ch. 4.4 - In Problems 33-44, (a) graph the rational function...Ch. 4.4 - In Problems 33-44, (a) graph the rational function...Ch. 4.4 - In Problems 33-44, (a) graph the rational function...Ch. 4.4 - In Problems 33-44, (a) graph the rational function...Ch. 4.4 - In Problems 33-44, (a) graph the rational function...Ch. 4.4 - In Problems 33-44, (a) graph the rational function...Ch. 4.4 - In Problems 33-44, (a) graph the rational function...Ch. 4.4 - In Problems 33-44, (a) graph the rational function...Ch. 4.4 - In Problems 45-56, find the vertical, horizontal,...Ch. 4.4 - In Problems 45-56, find the vertical, horizontal,...Ch. 4.4 - In Problems 45-56, find the vertical, horizontal,...Ch. 4.4 - In Problems 45-56, find the vertical, horizontal,...Ch. 4.4 - In Problems 45-56, find the vertical, horizontal,...Ch. 4.4 - In Problems 45-56, find the vertical, horizontal,...Ch. 4.4 - In Problems 45-56, find the vertical, horizontal,...Ch. 4.4 - In Problems 45-56, find the vertical, horizontal,...Ch. 4.4 - In Problems 45-56, find the vertical, horizontal,...Ch. 4.4 - Prob. 54AYUCh. 4.4 - Prob. 55AYUCh. 4.4 - Prob. 56AYUCh. 4.4 - Prob. 57AYUCh. 4.4 - Prob. 58AYUCh. 4.4 - Resistance in Parallel Circuits From Ohm’s Law...Ch. 4.4 - Newton’s Method In calculus you will learn that...Ch. 4.4 - Prob. 61AYUCh. 4.4 - Prob. 62AYUCh. 4.5 - Prob. 1AYUCh. 4.5 - Prob. 2AYUCh. 4.5 - The graph of a rational function cannot have both...Ch. 4.5 - Prob. 4AYUCh. 4.5 - Prob. 5AYUCh. 4.5 - Prob. 6AYUCh. 4.5 - Prob. 7AYUCh. 4.5 - Prob. 8AYUCh. 4.5 - True or False The quotient of two polynomial...Ch. 4.5 - True or False Every rational function has at least...Ch. 4.5 - Which type of asymptote will never intersect the...Ch. 4.5 - True or False The graph of a rational function...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 7-50, follow Steps 1 through 7 on page...Ch. 4.5 - In Problems 51-54, find a rational function that...Ch. 4.5 - Prob. 58AYUCh. 4.5 - In Problems 51-54, find a rational function that...Ch. 4.5 - In Problems 51-54, find a rational function that...Ch. 4.5 - Prob. 61AYUCh. 4.5 - Prob. 62AYUCh. 4.5 - Prob. 63AYUCh. 4.6 - Solve the inequality 34x5 . Graph the solution...Ch. 4.6 - Solve the inequality x 2 5x24 . Graph the solution...Ch. 4.6 - Which of the following could be a test number for...Ch. 4.6 - True or False The graph of f( x )= x x3 is above...Ch. 4.6 - In Problems 5-8, use the graph of the function f...Ch. 4.6 - In Problems 5-8, use the graph of the function f...Ch. 4.6 - In Problems 5-8, use the graph of the function f...Ch. 4.6 - In Problems 5-8, use the graph of the function f...Ch. 4.6 - In Problems 9-14, solve the inequality by using...Ch. 4.6 - In Problems 9-14, solve the inequality by using...Ch. 4.6 - In Problems 9-14, solve the inequality by using...Ch. 4.6 - In Problems 9-14, solve the inequality by using...Ch. 4.6 - In Problems 9-14, solve the inequality by using...Ch. 4.6 - In Problems 9-14, solve the inequality by using...Ch. 4.6 - In Problems 15-18, solve the inequality by using...Ch. 4.6 - In Problems 15-18, solve the inequality by using...Ch. 4.6 - In Problems 15-18, solve the inequality by using...Ch. 4.6 - In Problems 15-18, solve the inequality by using...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 19-48, solve each inequality...Ch. 4.6 - In Problems 49-60, solve each inequality...Ch. 4.6 - In Problems 49-60, solve each inequality...Ch. 4.6 - In Problems 49-60, solve each inequality...Ch. 4.6 - In Problems 49-60, solve each inequality...Ch. 4.6 - In Problems 49-60, solve each inequality...Ch. 4.6 - In Problems 49-60, solve each inequality...Ch. 4.6 - In Problems 49-60, solve each inequality...Ch. 4.6 - In Problems 49-60, solve each inequality...Ch. 4.6 - In Problems 49-60, solve each inequality...Ch. 4.6 - In Problems 49-60, solve each inequality...Ch. 4.6 - In Problems 49-60, solve each inequality...Ch. 4.6 - In Problems 49-60, solve each inequality...Ch. 4.6 - In Problems 61 and 62, (a) find the zeros of each...Ch. 4.6 - In Problems 61 and 62, (a) find the zeros of each...Ch. 4.6 - In Problems 63-66, (a) graph each function by...Ch. 4.6 - In Problems 63-66, (a) graph each function by...Ch. 4.6 - In Problems 63-66, (a) graph each function by...Ch. 4.6 - In Problems 63-66, (a) graph each function by...Ch. 4.6 - For what positive numbers will the cube of a...Ch. 4.6 - For what positive numbers will the cube of a...Ch. 4.6 - What is the domain of the function f( x )= x 4 -16...Ch. 4.6 - What is the domain of the function f( x )= x 3 -3...Ch. 4.6 - What is the domain of the function f( x )= x-2 x+4...Ch. 4.6 - What is the domain of the function f( x )= x-1 x+4...Ch. 4.6 - In Problems 73-76, determine where the graph of f...Ch. 4.6 - In Problems 73-76, determine where the graph of f...Ch. 4.6 - In Problems 73-76, determine where the graph of f...Ch. 4.6 - In Problems 73-76, determine where the graph of f...Ch. 4.6 - Average Cost Suppose that the daily cost C of...Ch. 4.6 - Average Cost See Problem 77. Suppose that the...Ch. 4.6 - Bungee Jumping Originating on Pentecost Island in...Ch. 4.6 - Gravitational Force According to Newtons Law of...Ch. 4.6 - Field Trip Mrs. West has decided to take her fifth...Ch. 4.6 - Make up an inequality that has no solution. Make...Ch. 4.6 - The inequality x 4 +15 has no solution. Explain...Ch. 4.6 - A student attempted to solve the inequality x+4 x3...Ch. 4.6 - Write a rational inequality whose solution set is...Ch. 4 - Prob. 1RECh. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - Prob. 4RECh. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - Prob. 48RECh. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 1CTCh. 4 - Prob. 2CTCh. 4 - Prob. 3CTCh. 4 - Prob. 4CTCh. 4 - Prob. 5CTCh. 4 - Prob. 6CTCh. 4 - Prob. 7CTCh. 4 - Prob. 8CTCh. 4 - Prob. 9CTCh. 4 - Prob. 10CTCh. 4 - Prob. 11CTCh. 4 - Prob. 1CRCh. 4 - Prob. 2CRCh. 4 - Prob. 3CRCh. 4 - Prob. 4CRCh. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Prob. 9CRCh. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 15CRCh. 4 - Prob. 16CRCh. 4 - Prob. 17CRCh. 4 - Prob. 18CRCh. 4 - Prob. 19CRCh. 4 - Prob. 20CRCh. 4 - Prob. 21CRCh. 4 - Prob. 22CRCh. 4 - Prob. 23CRCh. 4 - Prob. 24CR

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