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 4.5, Problem 1AYU
To determine

To find: If the graph of a rational function R has the vertical asymptote x = 4 , the factor x  4 must be present in the denominator of R . Explain why.

Expert Solution & Answer
Check Mark

Answer to Problem 1AYU

The vertical asymptotes will be generated by the zeroes of the denominator, Therefore the vertical asymptote x = 4 , the factor x  4 must be present in the denominator of R .

Explanation of Solution

R( x )= p( x ) q( x )

An asymptote is a line that the curve approaches but does not cross. The equations of the vertical asymptotes can be found by finding the roots of q( x ) . Completely ignore the numerator when looking for vertical asymptotes, only the denominator matters.

If you can write it in factored form, then you can tell whether the graph will be asymptotic in the same direction or in different directions by whether the multiplicity is even or odd.

Asymptotic in the same direction means that the curve will go up or down on both the left and right sides of the vertical asymptote. Asymptotic in different directions means that the one side of the curve will go down and the other side of the curve will go up at the vertical asymptote.

The vertical asymptotes will be generated by the zeroes of the denominator, Therefore the vertical asymptote x = 4 , the factor x  4 must be present in the denominator.

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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