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(See attached file for full problem description with proper equations)

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Given information in attachment, please sketch the graph.

For the rational function f(x) = (x2 - 1) / (x2 - 9), give the intercepts and asymptotes and sketch the graph.

Let f(x)=0, we get x=1 or x=-1. So, the x-intercepts: x=1 or x=-1.

Let x=0, we get y=1/9. So, the y-intercepts: y=1/9

Vertical asymptotes are x=3 and x=-3 since if x2 - 9=0;

Horizontal asymptotes are y=1, since (x2 - 1) / (x2 - 9) 1 as x goes to infinity

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This solution is comprised of a detailed explanation to give the intercepts and asymptotes and sketch the graph.

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