$\"\"$

The function is $\"\"$ .

Intercept:

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

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The $\"\"$ -intercept are $\"\"$ and $\"\"$ .

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

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

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Find the extrema for $\"\"$ .

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

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

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

The critical numbers are $\"\"$ and $\"\"$ .

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Find the points of inflection.

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

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

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

Equate $\"\"$ to $\"\"$ .

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$\"\"$ , $\"\"$

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

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The critical numbers is $\"\"$ , $\"\"$ .

Relative extrema points exist at critical numbers.

Substitute $\"\"$ in the function.

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$\"\"$ .

Substitute $\"\"$ in the function.

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$\"\"$ .

Perform second derivative test to identify the nature of the extrema.

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Test value	Sign of $\"\"$	Conclusion
$\"\"$	\ $\"\"$ \	Test fails
$\"\"$	\ $\"\"$ \	Relative minimum

Relative minimum point is $\"\"$ .

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Find asymptote of function $\"\"$ .

To find horizontal asymptote $\"\"$ .

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There is no horizontal asymptote.

To find vertical asymptote, denominator of the functionis equates to zero.

The function is ddefined for all values of $\"\"$ .

There is no vertical asymptote.

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Graph the function $\"\"$ .

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Observe the graph,

The intercepts are $\"\"$ , $\"\"$ .

Relative minimum point is $\"\"$ .

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

There is no horizontal and vertical asymptote.

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Graph the function $\"\"$ .

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