Answer
a) Absolute maximum: $1$ and absolute minimum: $-3$.
b) No absolute maximum and absolute minimum: $-3$.
c) Absolute maximum: $1$ and no absolute minimum.
d) No absolute maximum and no absolute minimum.
Work Step by Step
$f'(x)=2\to f'(x)$ is never $0$ and therefore the absolute extrema have to occur at the endpoints of the interval
$f(0)=-3.$
$f(2)=1.$
a) Absolute maximum: $1$ and absolute minimum: $-3$.
b) No absolute maximum and absolute minimum: $-3$.
c) Absolute maximum: $1$ and no absolute minimum.
d) No absolute maximum and no absolute minimum.
