SCAC$9320101$P

Consider the following function and cosed interval.

$f(x)=x^3-4x^2-16x6,[-4,4]$

Is $f$ continuous on the closed interval $-4,4?$

Yes

$$ No

If $f$ is differentiable on the open interval $(-4,4),$ find $f^{\text{'}}(x).($If is is not differentiable on the open interval, entier DNE$)$

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

$$

Find $f(-4)$ and $f(4).($if an answer does not exist, enter DNE.$)$

$r(-4)=$

$r(4)=$

Determine whether Rolle's theorem can be applied to $f$ on the closed interval $-4,4.($Select al that apply.$)$

Yes, Rolle's Theorem can be a$?$plied.

No$,$ because $f$ is not continuous on the closed interval $-4,4.$

No$,$ because $f$ is not differentiable on the open interval $(-4,4).$

No$,$ because $f(-4)f(4).$

$c=$

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