Answer
a) Absolute maximum: $4$ and absolute minimum: $1$.
b) Absolute maximum: $4$ and no absolute minimum.
c)No absolute maximum and absolute minimum: $1$.
d) No absolute maximum and no absolute minimum.
Work Step by Step
$f'(x)=-1\to f'(x)$ is never equal to $0$ and therefore the absolute extrema should occur at the interval's endpoints.
$f(1)=4; f(4)=1.$
a) Absolute maximum: $4$ and absolute minimum: $1$.
b) Absolute maximum: $4$ and no absolute minimum.
c)No absolute maximum and absolute minimum: $1$.
d) No absolute maximum and no absolute minimum.
