Consider the following function and closed interval.

$f(x)=x^3-4x^2-16x8,[-4,4]$

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

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Nice!

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

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

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Nice job!

Find $f(I_4)$ and $f(4).($If an answer does not exist, enter DNE.$)$

$f(-4)=$

$f(4)=$