$\"\"$

The function is $\"\"$ .

Intercept:

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

$\"\"$ .

$\"\"$

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

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

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

$\"\"$

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

$\"\"$

Find the extrema for $\"\"$ .

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

$\"\"$ .

$\"\"$

$\"\"$ .

To find the critical number, equate $\"\"$ to $\"\"$ .

$\"\"$ .

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

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

$\"\"$

Find the points of inflection.

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

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

$\"\"$ .

$\"\"$

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

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

$\"\"$ .

$\"\"$

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

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

$\"\"$

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

Relative extrema points exist at critical numbers.

Substitute $\"\"$ in the function.

$\"\"$

Substitute $\"\"$ in the function.

$\"\"$

$\"\"$ .

Substitute $\"\"$ in the function.

$\"\"$

$\"\"$ .

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

\ \

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

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

Relative maximum point is $\"\"$ .

Relative minimum point are $\"\"$ and $\"\"$ .

$\"\"$

Find asymptote of function $\"\"$ .

To find horizontal asymptote $\"\"$ .

$\"\"$ .

There is no horizontal asymptote.

To find vertical asymptote,equate denominator to zero.

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

There is no vertical asymptote.

$\"\"$

Graph:

Graph the function $\"\"$ .

$\"\"$

Observe the graph ,

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

Relative maximum point is $\"\"$ .

Relative minimum point is $\"\"$ and $\"\"$ .

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

There is no horizontal and vertical asymptote.

$\"\"$

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

Relative maximum point is $\"\"$ .

Relative minimum point is $\"\"$ and $\"\"$ .

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

There is no horizontal and vertical asymptote.

Graph the function $\"\"$ .

$\"\"$ .