Consider the function $f(x)=\frac{x^2-9x20}{x2}.$

a$.$ Find the first derivative. $f^{\text{'}}(x)=\frac{x^{2}4x-3x}{(x2{)}^2}$

b$.$ List any critical values. $$

c$.$ Identify intervals of increase. $q,$

d$.$ Identify intervals of decrease. $$

e$.$ Find the second derivaitve. $f^{\text{'}\text{'}}(x)=8$

f$.$ tused on parts b through e$,f(x)$ has a maximum of $y=$ when $x=$

$8$

$8.$ Based on parts b throuph e$,f(x)$ has a minimum of $y=8$ when $x=$

$$ h$.$ Use the second derivative to identify intervals where $f(x)$ is concave up$.$

$8$

Use the second derivative to identify intervals where $f(x)$ is concive down.

$$

Use the second derivative to find any inflection points. $$

k$.$ State any vertical asymptotes. $$

L$.$ State any slant asymptotes. $$