Select all rational functions. There are several correct answers.A. b(x)|B. h(x) ===| c. n(x) =D.t(x)|Ē. m(x) ==F. c(x) =| G. a(x) =OH. r(x)1. s(x) =0000===7x²+2x-6337x²+2x-67x²+2√x-63-8x73-8x³7x0.7+2x-67x+27x+27x²+2x-63+x|7x²+2x-63-8x77x²+2x-63-8x-7√7x²+2x-63-8x7

Rational Function : A rational fraction, which is an algebraic fraction such that both the numerator…

Answered: Select all rational functions. There…

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 2E

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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.
Match the graph of the rational function f(x)=ax+bcx+d with the given conditions. (a) (b) (c) (d) (i) a0b0c0d0 (ii) a0b0c0d0 (iii) a0b0c0d0 (iv) a0b0c0d0
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?
The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.

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Select all rational functions. There are several correct answers. 7x²+2x-6 3 3 7x²+2x-6 7x²+2√x-6 3-827 3-82³ 7x0.7+2x-6 7x+2 7x+2 7r²+2r-6 3+x G. a(x) = 72² +22-6 3-8x7 A. b(x) = B. h(x) = c. n(x): OD. t(x) = E.m(x) = OF. c(x) = OH. r(x) = = 1. S(x) = 7x²+2x-6 3-82-7 √7x²+2x-6 3-877