a$)$ State the interval$($s$)$

for which $f(x)$ is increasing $.$

b$)$ State the interval$($s$)$

for which $f^{\text{'}}$ is increasing $\_$

c$)$ State the interval$($s$)$

for which the slope is negative.

d$)$ State the $x-$coordinate$($s$)$ of inflection point$($s$)$

e$)$ State the one value of $x$ for which both of these are true:

$f^{\text{'}}(x)=0$ and $f^{\text{'}\text{'}}(x)<mn>0</mn>$