$\"\"$

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The $\"\"$ intercepts of the rational function are $\"\"$ and $\"\"$ .

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Vertical asymptotes are at $\"\"$ and $\"\"$ .

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Horizantal asymptote at $\"\"$ .

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$\"\"$ Intercepts :

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The rational function has $\"\"$ intercepts at $\"\"$ and $\"\"$ , therefore the zeros of numerator are $\"\"$ and $\"\"$ .

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Vertical Asymptotes :

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The rational function has vertical asymptotes at $\"\"$ and $\"\"$ , therefore the zeros of the denominator should not be

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$\"\"$ and $\"\"$ .

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Therefore the factors of the denominator are $\"\"$ and $\"\"$ .

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Horizantal Asymptote :

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The rational function has horizantal asymptotes at $\"\"$ .

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The horizantal asymptote is $\"\"$ when the degree of the denominator is greater than the degree of the numerator.

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To satisfy this condition raise the factor $\"\"$ to the second power which will raise the degree of the denominator, and satisfy the condition of horizantal asymptote at $\"\"$ .

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Rational Function :

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Therefore the rational function is $\"\"$ .

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$\"\"$

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The rational function is $\"\"$ .