If there are no such values, type DNE. If there are multiple discrete values, separate them with commas. If
there are a whole interval of values that fulfill the requirement, use interval notation to give all of the
values in the interval.
Type oo for $\infty$ and -oo for $-\infty$. Also type U for $\cup$.
Where is $f'= 0$ ?
at $x = 0.2$
Where is $f'$ undefined?
at $x = \text{DNE}$
What are the critical values of $f$?
at $x = 0, 2$
Where does $f$ have absolute minimums? What are
these absolute minimum values?
the absolute minimum is $-\infty$ which
occurs at $x = 0$
Where does $f$ have absolute maximums? What are
these absolute maximums values?
the absolute maximum is $\infty$ which
occurs at $x = 2$
Where does $f$ have relative minimums? What
are these relative minimum values?
the relative minimum is 0 which
occurs at $x = 0$
Where is $f' > 0$?
$\forall x$ in the interval $(2, \infty)$
Where does $f$ have relative maximums? What
are these relative maximum values?
the relative maximum is 4 which
occurs at $x = 2$
Where is $f' < 0$?
$\forall x$ in the interval $(-\infty, 0)$
