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This problem trains for: SAT-II.

How many asymptotes does the graph of the function have?


The rational expression can be written as:


Therefore, as x becomes infinitely large, the function becomes infinitely close to the line:


which is a oblique asymptote.

Also, when x gets infinitely close to 1, the function becomes infinitely large. Therefore, x=1 is a vertical asymptote.

The function has two asymptotes.