## A community for students. Sign up today

Here's the question you clicked on:

## anonymous 3 years ago Can the endpoints of a function be a local/absolute maximum/minimum?

• This Question is Closed
1. anonymous

Consider the function $f(x) = \sqrt{x}$ Or an arbitrary function of your choice. Any point can be a local min or max, or a global min or max.

2. anonymous

After some research I will retract what I said. Endpoints can be global but not local because of the way local extrema is defined. There would have to be a neighborhood around a point in order for it to be considered a local minimum or maximum. So end points can be global extrema but not local ones.

#### Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy