How to find the extrema using the EVT

The video tutorial explains how to find critical values of a function within a given interval. It discusses the continuity of the function and applies the Extreme Value Theorem to determine where maximum and minimum values occur. The process of finding the derivative using the power rule is demonstrated, followed by identifying critical values where the derivative is zero or undefined. Finally, the function is evaluated at critical points and endpoints to determine extrema.

What is the function f of x mentioned in the text?

Explain why the function is continuous for all x.

What does the Extreme Value Theorem state?

How do you find the critical values of a function?

What are the critical values identified in the text?

What are the values of f at negative 8, 0, and 1?

What conclusions can be drawn about the extrema of the function?