Answer
(a) local maximum at $x=0$; local maximum value is $2$
(b) local minimum at $x=-1, 1$; local minimum value is $0$
Work Step by Step
Based on the give graph:
(a) The number at which f has a local maximum is $x=0$ and the local maximum value is $f(0)=2$
(b) The numbers at which f has a local minimum are $x=-1, 1$ and the local minimum values are $f(-1)=f(1)=0$
