Answer
(a) local maximum at $x=0$; local maximum value is $3$
(b) local minimum at $x=-2, 2$; 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 $f(0)=3$
(b) The numbers at which f has a local minimum are $x=-2, 2$ and the local minimum values are $f(-2)=f(2)=0$
