Question

Which graph represents the rational function f(x) equals X squared -16 divided by X squared minus 2X -8

Answer 1

It should be a graph of two branches, one on the top right, and bottom left, and the center of them should be at (-2, 1).

Explanation:

f(x)=(x^2-16)/(x^2-2x-8)

= (x+4)(x-4)/(x-4)(x+2)

=(x+4)/(x+2)

=((x+2)+2)/(x+2)

=1+2/(x+2)

So the center is at (-2, 1)