## Section 5.1 - 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? (pg 193)
- REVIEW Example 1 and take notes as needed. (pg 193)
- READ Example 2 and take notes as needed. (pg 194)
- What is the Extreme Value Theorem? (pg 194)

__Local (Relative) Extreme Values__

- What are local extreme values? (pg 195 & Figure 5.5)

__Finding Extreme Values__

- What is the Local Extreme Values Theorem? (pg 195)
- What is a critical and stationary point? (pg 196)
- How do you find absolute extrema? (Ex 3 pg 196)
- How do you find extreme values? (Ex 4 pg 196-197)
- Does every critical point mean there is an extreme value? (bottom pg 197)
- How do you find extreme values? (Ex 5 pg 198)
- How can you use graphical methods to find extrema? (Ex 6 pg 198-199)

**STEP 3: Reading**

__Read__the following page(s) and take any extra notes as needed.

- Read pages 193 - 199.
- Make sure to read the paragraphs between the examples and sidebar snippets.