Question

Pre-calc, Review the graph of f(x). Which statement describes the behavior of the function around the vertical asymptotes? (image attached)

Answer 1

Answer:

Option B

Step-by-step explanation:

Given the piecewise function, we see that there are two vertical asymptotes at lines x=-3 and x=3. Around the vertical asymptote x=-3, the limit of the function f(x) as x approaches -3 from the left side is ∞, and the limit of the function as x approaches -3 from the right side is -∞. The behavior of the function around the vertical asymptote x=3 is exactly the same. Therefore, option B is correct.