Question

Which of the following rational functions is graphed below?

O A. F(x)=¹/₂2
O B. F(x) = 1/1/
C. F(x) = ²
O D. F(x) = x+2

Answer 1

Answer: A. 1/x-2

Explanation:

I found out my answer by first looking at the graph. We can see both lines are getting closer and closer to the number two. This is called a vertical asymptote. Since we know the VA is now equal to 2, we need to find the problem that matches. The vertical asymptote should make the denominator equal to 0. In the very first equation, the denominator is x-2. Our VA of 2, would make that denominator equal to zero, therefore that is our solution. If you also verify with the other problems, none of them result in the denominator at 0.

Hope this helped!