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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.