Extreme Value Theorem, Extrema, Critical Points Practice Test

If $p'(c)=0$, then $p(c)$ is an absolute extremum value.

$p$ has both an absolute maximum value and an absolute minimum value on $[1,5]$.

If $p$ has an absolute minimum, it must occur at $x=1$.

If $p'(x)$ exists for all $x$ in $(1,5)$, $p$ has no absolute extrema on $[1,5]$.

Any absolute maximum of $p$ must occur at a point where $p'(x)=0$.