what are the equations of the horizontal and vertical asymptotes? horizontal asymptote: vertical asymptote:

Explanation:

Step1: Identify horizontal asymptote

As (x\to\pm\infty), the function approaches (y = 0). So the horizontal - asymptote is (y = 0).

Step2: Identify vertical asymptote

The function has a break at (x = 3) (by observing the graph where the function shoots to (\pm\infty)). So the vertical - asymptote is (x = 3).

Answer:

horizontal asymptote: (y = 0) vertical asymptote: (x = 3)