Question

I neeeeddd help!

Answer 1

Answer:

All values at which h has a local maximum: $-2,4$

All local maximum values: $3,2$

Step-by-step explanation:

The maximum of a function is described as the point in the graph where the $y$ value (in our case $h$) has the biggest magnitude, however we are asked for the local maximums which are the points where the value of $y$ has the biggest magintude amongst it´s surroundings values for $y$.

As we can see in the graph we have two local maximums in the coordinates($(x,y)$):

$(-2,3)\\(4,2)$

The two $y$ in this coordinates are thhe maximum values: $(3,2)$

and the two $x$ in this coordinates will be the values at which h has a local maximum:$(-2,4)$

Answer 2

all values at which h has a local maximum for x:

-2, 1, 4

all local maximum values of h for y:

3, -3, 2