Question

What are the vertical and horizontal asymptotes of the graph

Answer 1

Horizontal asymptote: y=0

Vertical asymptotes: x=-3, x=0, and x=2

Explanation:

Hi there!

The asymptotes of a graph are lines that the graph travel infinitely closer to, but never touch.

For this graph, there is only one horizontal asymptote. This is the x-axis. Notice how the graph seems to be traveling closer and closer to it on both sides but it never seems to touch it.

y=0

Then, the vertical asymptotes are x=-3, x=0 (the y-axis) and x=2. Again, notice how these lines almost "split up" the graph.

I hope this helps!