The function $f$ is graphed below. State the values that fulfill the following requirements.
If there are no such values, type DNE. If there are multiple discrete values, separate them with commas.
Type oo for $\infty$ and $-\infty$ for $-\infty$.
(i) Where is $f'$ undefined?
at $x = $
(ii) Where does $f$ have local minimums?
at $x = $
(iii) Where does $f$ have local maximums?
at $x = $
(iv) What is the absolute (global) minimum of $f$ in the interval $[-1, 2.5]$?
the absolute minimum is
(v) What is the absolute (global) maximum of $f$ in the interval $[-1, 2.5]$?
the absolute maximum is