Question

find all local maximum values of h, and all values at which h has a local maxium

Answer 1

Part A

Local maximum values of h(x)

Looking at the graph

we have maximum values

h(x)=3

h(x)=-1

therefore

The answer to Part A is -1,3

Part B

we have that

h(x)=3 ------> For x=-2

h(x)=-1 ------> For x=3

therefore

The answer to Part B is -2,3