# Over the x-value interval [−10,10], what are the local extrema of f(x)=x^2?

Nov 1, 2015

$\left(0 , 0\right) , \left(- 10 , 100\right) , \left(10 , 100\right)$

#### Explanation:

The relative minimum, as well as absolute minimum occurs at $\left(0 , 0\right)$.

The absolute maximum occurs at both #(-10, 100) and (10, 100)

graph{x^2 [-104.6, 132.8, -13.2, 105.3]}