$[1/6$ Points$]$

LARCALCET$74\mathrm{.}2\mathrm{.}015.$EP$.$

Consider the following function and closed interval.

$f(x)=x^{\frac{2}{3}}-5,\{-64,64\}$

Is $f$ continuous on the closed interval $-64,64?$

Yes

No

If $f$ is differentiable on the open interval $(-64,64),$ find $f^{\text{'}}(x).($If it is not differentiable on the open interval, enter owe.$)$

$f^{\text{'}}(x)=$

$$

Find $f(-64)$ and $f(64).$

$f(-64)=$

Determine whether Rolle's Theorem can be applied to $f$ on the closed interval $a,b.($Select all that apply.$)$

Yes, Rolle's Theorem can be applied.

No$,$ because $f$ is not continuous on the closed interval $a,b.$

No$,$ because $f$ is not differentiable in the open interval $(a,b).$

No$,$ hecause $f(a)f(b).$