The given rational function is:

f(x)=\frac{x^{2}-1}{x-1}

Graph the function shown above.

Since the denominator cannot equal 0, the function f(x)=\frac{x^{2}-1}{x-1} is not defined for x=1.

Sketch the graphs of the}{ f(x)=\frac{x^{2}-1}{x-1} } is shown:

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