Answer:
C
Explanation:
When we set the numerator equal to 0 and solve for x, that value is the horizontal asymptote (a line the graph come towards, but never crosses).
Looking at the graph, the horizontal asymptote is x = 2, so which one of the 4 functions has a horizontal asymptote of 2? Let's check.
A) 2x - 1 = 0
x = 1/2
B) same, x = 1/2
C) 2x -4 = 0
x = 2
D) same as A,B, x = 1/2
As we can see, option C has the right horizontal asymptote and A,B,D are eliminated. So answer is C.