\"\"

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The function is \"\".

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Step 1: Find the zeros.

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\"\"                     (Set \"\")

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\"\"         (Subtract \"\" from each side)

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\"\"                       (Apply additive inverse property: \"\")

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There is no zeros.

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\"\"

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Step 2: Find the asymptotes.

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Vertical asymptote:

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\"\"                (Set \"\")

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\"\"               (Factors)

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\"\" and \"\"     (Cancl square and root terms)

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\"\" and \"\"         (Simplify)

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There is a vertical asymptote at \"\".

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The degree of the denominator is greater than the degree of the numerator.

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Thus, horizontal asymptote is \"\".

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Thus, the oblique asymptote is the line \"\".

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\"\"

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Step 3: Draw the asymptotes:

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Make a table of values.

\ \
\ \
\ \
\ \
\ \
\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
\"\"\"\"
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Graph:

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Graph the function \"\".

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Plot the points obtained in the table.

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\"\"

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\"\"

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Graph the function \"\".

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\"\"