Question

How do you find the absolute extreme values of each function on the interval `y = 10 - 8x^2` on [-1,2]?

Answer 1

`x=0,y=10`

Explanation:

Since we have an parabola in the form `y=-x^2+10` we get the absolute maximum for `x=0,y=10`
checking the given interval:

`f(-1)=9<10`

`f(2)=10-4=6<10`
so the searched absolute extremum is `x=0,y=10`