Summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of $f(x)=\frac{x^2}{x-4}.$

Find the intervals where $f(x)$ is increasing or decreasing. Select the correct choice below and fill in the answer box$($es$)$ to complete your choice.

A$.$ The function is increasing on $$ It is never decreasing. $($Type your answer in interval notation. Use a comma to separate answers as needed.$)$

B$.$ The function is increasing on $(-,0),(8,).$ It is decreasing on $(0,4),(4,8).($Type your answers in interval notation. Use a comma to separate answers as needed.$)$

C$.$ The function is decreasing on $.$It is never increasing.

$($Type your answer in interval notation. Use a comma to separate answers as needed.$)$

Find the location of any local extrema of $f(x).$ Select the correct choice below and, if necessary, fill in the answer box$($es$)$ to complete your choice.

A$.$ There is a local maximum at $x=0$ and there is a local minimum at $x=8.($Type integers or decimals. Use a comma to separate answers as needed.$)$

B$.$ There is a local maximum at $x=.$ There is no local minimum.

$$

$($Type an integer or a decimal. Use a comma to separate answers as needed.$)$

C$.$ There is a local minimum at $x=.$ There is no local maximum.

$$ There is no local maximum.

$($Type an integer or a decimal. Use a comma to separate answers as needed.$)$

D$.$ There are no local extrema.

Find the intervals where $f(x)$ is concave upward or downward. Select the correct choice below and fill in the answer box$($es$)$ to complete your choice.

A$.$ The function is concave upward on $.$ It is never concave downward. $($Type your answer in interval notation. Use a comma to separate answers as needed.$)$

B$.$ The function is concave downward on $$ It is never concave upward.

$($Type your answer in interval notation. Use a comma to separate answers as needed.$)$

C$.$ The function is concave upward on $$ It is concave downward on $($Type your answers in interval notation. Use a comma to separate answers as needed.$)$