$\"\"$

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The function is $\"\"$ .

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Intercept :

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To find the $\"\"$ -intercept,substitute $\"\"$ in the function.

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$\"\"$

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

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Imaginary roots are not consider so, $\"\"$ .

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The $\"\"$ -intercept is $\"\"$ .

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To find the $\"\"$ -intercept, substitute $\"\"$ in the function.

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$\"\"$

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The $\"\"$ -intercept is $\"\"$ .

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$\"\"$

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Find the extrema for $\"\"$ .

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Differentiate on each side with respect to $\"\"$ .

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$\"\"$

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Use power rule $\"\"$ .

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$\"\"$

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$\"\"$ .

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To find the critical numbers we make $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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

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Imaginary roots are not considered.

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So, There is no critical points.

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$\"\"$

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To find the points of inflection of the graph $\"\"$ , then equate $\"\"$ .

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The first derivative of $\"\"$ is $\"\"$ .

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Find the second derivative of $\"\"$ .

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$\"\"$

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Derivative on each side with respect to $\"\"$ .

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$\"\"$

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Use power rule $\"\"$ .

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$\"\"$

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The second derivative of $\"\"$ is $\"\"$ .

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To find inflection points we make $\"\"$ .

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$\"\"$

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$\"\"$

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The possible inflection points occurs at $\"\"$ .

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$\"\"$

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Find asymptote of function $\"\"$ .

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To find horizontal asymptote $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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The horizontal asymptote is : $\"\"$ .

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There are no vertical asympote.

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$\"\"$

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Graph the function $\"\"$ .

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$\"\"$

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Observe the graph :

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The intercepts are $\"\"$ .

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There is no relative extrema.

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The inflection points occurs at $\"\"$ .

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The horizontal asymptote is : $\"\"$ .

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$\"\"$

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The intercepts are $\"\"$ .

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There is no relative extrema.

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The inflection points occurs at $\"\"$ .

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The horizontal asymptote is : $\"\"$ .

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Graph the function $\"\"$ .

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$\"\"$ .