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

Jul 16, 2018

$x = 0 , y = 10$

#### 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:

$f \left(- 1\right) = 9 < 10$

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