Question

Which graph represents the function f(x) = 2/x-1 +3

Answer 1

Bottom left

Explanation:

The limit as x approaches infinity is 3, so there is a horizontal asymptote at 3. So eliminate top left and bottom right.

Also, the fraction 2/(x-1) is undefined when x=1 (since the denominator is 0), so there is a vertical asymptote at x=1. Eliminate top right

So, your answer is the bottom left graph.