Question

Which of the following rational functions is graphed below

Answer 1

Answer:

D

Step-by-step explanation:

This graph shows two vertical asymptotes, one at x = +3, the other at x = 4.  Thus, we omit the first two answer choices.  Next, we substitute 0 for x and determine the y value in Answer Choice C:  F(0) = 0.  Does the graph go through (0, 0)?  Yes, it does.  Next, evaluate F at x = 3.5 (halfway between x =  3 and x = 4); that is, evaluate function D at x = 3.5.  Does the y value come out to be -4 as shown in the graph?  Yes, it does.    So D is the correct function to match this graph.