For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x).f(x) = 

A. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except -1
(iii) Vertical asymptote: x = -1; horizontal asymptote: y = 1
(iv)

B. (i) x intercept: 0; y intercept: 0
(ii) Domain: all real numbers except 1
(iii) Vertical asymptote: x = 1; horizontal asymptote: y = 1
(iv)

C. (i) x intercept: 2; y intercept: 2
(ii) Domain: all real numbers except 1
(iii) Vertical asymptote: x = 1; horizontal asymptote: y = 1
(iv)

D. (i) x intercept: -2; y intercept: 2
(ii) Domain: all real numbers except -1
(iii) Vertical asymptote: x = -1; horizontal asymptote: y = 1
(iv)


Answer: D

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