Answer:
All values at which h has a local maximum: [tex]-2,4[/tex]
All local maximum values: [tex]3,2[/tex]
Step-by-step explanation:
The maximum of a function is described as the point in the graph where the [tex]y[/tex] value (in our case [tex]h[/tex]) has the biggest magnitude, however we are asked for the local maximums which are the points where the value of [tex]y[/tex] has the biggest magintude amongst it´s surroundings values for [tex]y[/tex].
As we can see in the graph we have two local maximums in the coordinates([tex](x,y)[/tex]):
[tex](-2,3)\\(4,2)[/tex]
The two [tex]y[/tex] in this coordinates are thhe maximum values: [tex](3,2)[/tex]
and the two [tex]x[/tex] in this coordinates will be the values at which h has a local maximum:[tex](-2,4)[/tex]
