# 4_1 - Section 4.1: Maximum and Minimum Values Instructor:...

This preview shows pages 1–2. Sign up to view the full content.

Section 4.1: Maximum and Minimum Values Instructor: Ms. Hoa Nguyen (nguyen@scs.fsu.edu) Maximum and Minimum Values Deﬁnition : Let D be the domain of f , a function f has: an absolute maximum (or global maximum ) at c if f ( c ) f ( x ) for all x in D . f ( c ) is called the absolute maximum value of f on D . an absolute minimum (or global minimum ) at c if f ( c ) f ( x ) for all x in D . f ( c ) is called the absolute minimum value of f on D . The absolute maximum value or absolute minimum value of f are called the extreme values of f . Deﬁnition : Let V be some open interval containing c ( V D ), a function f has: a local maximum (or relative maximum ) at c if f ( c ) f ( x ) for all x in V . f ( c ) is called the local maximum value of f on D . a local minimum (or relative minimum ) at c if f ( c ) f ( x ) for all x in V . f ( c ) is called the local minimum value of f on D . Example 4 of Section 4.1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## 4_1 - Section 4.1: Maximum and Minimum Values Instructor:...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online