Graphical behavior of asymptotes - AP Calculus AB

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Question

Where are the vertical asymptotes on the graph of the function

Answer

To solve this, find where the function cannot exist. Here, the function cannot exist if the denominator is zero. This happens at x=2 and x=-2. Graph the function on a graphing calculator or by hand to see that the function never crosses these vertical lines. It only gets infinitely close. This is characteristic of vertical asymptotes.

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Question

Where are the vertical asymptotes on the graph of the function

Answer

To solve this, find where the function cannot exist. Here, the function cannot exist if the denominator is zero. This happens at x=2 and x=-2. Graph the function on a graphing calculator or by hand to see that the function never crosses these vertical lines. It only gets infinitely close. This is characteristic of vertical asymptotes.

Compare your answer with the correct one above

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