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For graph of a function $y=f(x),$ find the absolute maximum and the absolute minimum, if they exist. Identify any local maximum values or local minimum values.

(Check your book for graph)

(4,4) , (5,0)

Algebra

Chapter 3

Functions and Their Graphs

Section 3

Properties of Functions

Functions

Campbell University

McMaster University

Baylor University

Lectures

01:32

In mathematics, the absolu…

01:11

01:18

For graph of a function $y…

01:14

01:42

01:13

01:09

01:04

The graph of a function $f…

00:58

01:07

we are going to discover the absolute extremely here and along the way. We also are going to state where are local extreme are this point here? The point of 11 would be a local minimum because the slope is going from a negative slope to a positive slope. There is also a local maximum here because the slope is going from a positive to a negative slope. Now it's possible that those local extreme it could also be absolute extreme. A. The local maximum is actually also an absolute maximum because the largest function value is four, so there is an absolute maximum at the 0.44 But the local extreme of 11 is not the absolute minimum because the function value actually drops all the way down to zero. So are absolute. Minimum value is zero, and that absolute minimum occurs at the point of five zero

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