Identify any vertical, horizontal, or oblique asymptotes in the graph of y 9) f(

Question

Identify any vertical, horizontal, or oblique asymptotes in the graph of y 9) f(x). State the domain of f. 10 6 4 2 t 1 46 8 A) Vertical: x = 2: horizontal: y=-4; (-00,-4) U (-4, oo) B) Vertical: x =-4; horizontal: y = 2; (4, 2) U (2, o) C) Vertical: x =-4; horizontal: y-2; (-00,-4) U (-4, oo) D) Vertical: x = 2: horizontal: y =-4; (-00, 2) U (2, o) 10) A) Vertical: x = ± 2; horizontal: y =-1; (-00,-2) U (-2, 2) U (2, o) B) Vertical: x = ± 2; horizontal: y =-1; (-?,-2) U (-2, o) C) Vertical: x--1 ; horizontal y = ± 2; (-00,-1 ) U (-1, oo) D) Vertical: x--I ; horizontal: y = ± 2; (-oo,-2) U (-2, 2) U (2, o) Find an equation for the rational function graph A)f(x)-xx-7) B) fix) = 70x-7) x- 4 x-4

Explanation / Answer

9) vertical asymptotes x = 2

horizontal asymptote y = -4

domain ( -infinity , 2 ) U ( 2 , infinity )

option d is correct

10) vertical x = -2 , x = 2

horizontal y = -1

domain ( -infinity , -2 ) U ( -2, 2 ) U ( 2 , infinity )

option a is correct

11) zeros are x = 0 , x = 7

vertical asymptotes are x = 4

so function is f(x) = x(x-7) / (x-4)^2

option c is correct

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