Which of the following functions is equal to the fraction shown as below:8x – 6) (x + 2)22+x +271|1+7 (x – 6)2 (х — 6) '2 (х + 2)||714х + 41 ++2 (x – 6)2 (x + 2)1 -х2 — 4х — 12-..... .................

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Answered: Which of the following functions is…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.6: Rational Functions

Problem 5E

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Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6 w(x)=x+3x3+6x+9x (a) Which of these rational functions has a horizontal asymptote? (b) Which of these functions has a slant asymptote? (c) Which Of these functions has no vertical asymptote? (d) Which Of these functions has a "hole"? (e) What are the asymptotes of the function r(x) ? (f) Graph y =u(x) , showing clearly any asymptote and x- and y intercepts the function may have. (g) Use long division to find a polynomial P that has the same end behavior as t. graph both P and t on the same screen to verify that they have the sane end behavior.
What is the domain of the function f(x)=ln(x+2x4) ? Discuss the result.
C of these fish caught by fishing over the life span of the fish is given by the catch equation C=FM+FN0 where F is the proportion of fish caught annually, M is the proportion of fish that die of natural causes annually, and N0 is the original number of fish F stocked in the lake. If we let x denotes the ratio FM, then the catch equation can be rewritten as C(x)=x1+xN0 Assume that a lake is stocked with 1000 channel catfish a. Write the catch equation for the lake stocked with channel catfish. b. What is the horizontal asymptote for the catch equation? c. Explain what the horizontal asymptote means in terms of the original 1000 fish. d. What is the vertical asymptote for the catch equation? Does the pole of the equation have any meaning in terms of the fish population?

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Which of the following functions is equal to the fraction shown as below: 8 x – 6) (x + 2)