## Section 4.1 - Extreme Values of Functions

**Essential Question(s):**

What are the characteristics of extreme values?

**Follow**__these three steps__to complete this "flip" lesson.**STEP 1: Preparation**

__Title__your spiral with the heading above and

__copy__the essential question(s).

**STEP 2: Vocabulary & Examples**

__Copy__and

__define__the following of vocabulary. This can be any tables, properties, theorems, terms, phrases or postulates listed.

__Review__the following examples and

__copy__what is necessary for you. Use the guiding questions for your Cornell notes.

__Absolute (Global) Extreme Values__

- What are absolute extreme values?
- What is the Extreme Value Theorem?

__Local (Relative) Extreme Values__

- What are local extreme values?
- What is a relationship between relative and absolute extrema?

__Finding Extreme Values__

- What is the Local Extreme Values Theorem?
- What is a critical and stationary point?
- What is the Candidates Test for Absolute Extrema?
- Does every critical point mean there is an extreme value?

**STEP 3: Reading**

__If time permits, reread__the lesson and take any extra notes as needed.