Section 2.2 - Power Functions and Modeling

Essential Question(s): 

What are the characteristics of power functions and their graphs?

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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.

Power Functions and Modeling

• What is the definition of a power function? (pg 188)
• What is direct and inverse variation? (pg 188)
• How do you write a power function formula from a verbal description? (Ex 1 pg 189)
• How do you analyze a power function? (Ex 2 pg 189)

Monomial Functions and their Graphs

• What is a monomial function? (pg 190 and the paragraph below monomial function box)
• Review graphing monomial functions and take notes as needed (Ex 3 pg 191)

Graphs of Power Functions

• What are the characteristics of the graphs of power functions? (pg 192)
• How can you describe the graph of a power function? (Ex 4 pg 192)

Modeling with Power Functions

• How do you model planetary data with a power function? (Ex 5 pg 194)
• How can you model free-fall speed versus distance? ( pg 195)
• Why p for speed? (pg 195)
• A warning about power function regression models (pg 196)

STEP 3: Reading
Read the following page(s) and take any extra notes as needed.

• Read pages 170-181.
• Make sure to read the paragraphs between the examples.

Power Regression Calculator