Find the following for this function: f(x)=(2x^2-2)/(x^2-4x). a)List x and y intercepts if any exist. b)Give the equations for any possible vertical, horizontal, and slant asymptotes. c)Draw a sketch.

Question

Please answer these questions and show me how you got them.

Answer 1

a) x= + and - 1 are x intercepts

no y intercepts

b) horizontal asymptote: y=2

vertical asymptotes: : x=0 and x=4

graph is discontinuous at x=0 and x=4

there are 3 separate branches of the curve for x<0, 0<x<4 and x>4