Does the EVT apply

The video tutorial discusses identifying function maxima and minima, emphasizing the need for continuity and closed intervals for the Extreme Value Theorem (EBT) to apply. It explains that while EBT ensures the existence of extrema, it does not specify their location, which can be at endpoints or within the function. The tutorial highlights that extrema are not always where the derivative is zero, stressing the importance of understanding these concepts.

What does the EVT tell us about the existence of maximum and minimum values?

Discuss the significance of continuity in relation to the EVT.