Extreme Value Theorem, Extrema, Critical Points Practice Test

If $p$ has an absolute extremum in $(1,4)$, then it occurs at a critical point.

Because $p$ is continuous, it must be differentiable at $x=2$.

The corner at $x=2$ is an absolute maximum.

Endpoints cannot be absolute extrema for $p$.

If $p'(2)$ does not exist, then $p$ has no absolute extrema.