which of these is not an asymptote on this graph? x=-3 y=2 y=-3 x=3

Explanation:

Step1: Recall asymptote definition

An asymptote is a line that the graph of a function approaches but never touches. Vertical asymptotes occur at values of x where the function is undefined. Horizontal asymptotes are the values that y approaches as x goes to positive or negative infinity.

Step2: Analyze vertical asymptotes

Vertical asymptotes are of the form x = a. If the graph has breaks or unbounded behavior at x = - 3 and x = 3, they can be vertical asymptotes.

Step3: Analyze horizontal asymptotes

Horizontal asymptotes are of the form y = b. If the graph levels - off towards y=-3 or y = 2 as x moves to the left or right, they can be horizontal asymptotes. Without seeing the actual graph, assume normal function - behavior. If the graph has trends consistent with approaching x=-3, x = 3, y=-3 or y = 2, we need to eliminate the non - asymptote. Usually, we check the behavior of the function near these lines. But if we assume a standard rational or trigonometric - like function, we note that one of these will not match the graph's long - term or singular behavior.

Answer:

We cannot determine the answer without seeing the actual graph. If we had to guess randomly, we have no information to prefer one over the others. But if we assume a typical rational function graph, we would need to visually inspect the graph to see which line the function does not approach. If we had to choose without the graph, we still cannot give a definite answer.