$\"\"$

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The function $\"\"$ .

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The area of the function over the interval $\"\"$ is $\"\"$ .

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Graph of the function $\"\"$ :

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$\"\"$

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(a) Find the horizontal asymptote of graph $\"\"$ .

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The function is $\"\"$ .

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The rational function $\"\"$ .

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If the function has $\"\"$ , then the horizontal asymptote is $\"\"$ .

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The function is $\"\"$ .

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The function $\"\"$ has same degree in both numerator and denominator.

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$\"\"$

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The function $\"\"$ has horizontal asymptote at $\"\"$ .

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$\"\"$

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(b)

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Graph of the function $\"\"$ :

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$\"\"$

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The rational function $\"\"$ .

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If the function has $\"\"$ , then there is no horizontal asymptote.

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There is a slant asymptote.

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The function $\"\"$ does not have horizontal asymptotes.

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$\"\"$

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(a) The function $\"\"$ has horizontal asymptote at $\"\"$ .

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(b) The function $\"\"$ does not have horizontal asymptotes.