Answer
(a) There is an absolute maximum at $x=2$, but there is no absolute minimum.
(b) There is an absolute maximum at $x=1$ and there is an absolute minimum at $x=2$. The function is discontinuous at the point $x=1$.
Work Step by Step
(a) This is the graph of a function on $[-1,2]$. There is an absolute maximum at $x=2$, but there is no absolute minimum.
(b) This is the graph of a function on $[-1,2]$. There is an absolute maximum at $x=1$ and there is an absolute minimum at $x=2$. The function is discontinuous at the point $x=1$.