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AFM – CHAPTER 4 Functions
5 Function Families ,[object Object],[object Object],[object Object],[object Object],[object Object]
Linear ,[object Object],[object Object],[object Object],[object Object]
Linear ,[object Object],[object Object],[object Object],[object Object]
Power Functions ,[object Object],[object Object],[object Object],[object Object]
Power Functions ,[object Object],[object Object],[object Object],[object Object]
Root Functions ,[object Object],[object Object],[object Object],[object Object]
Root Functions ,[object Object],[object Object],[object Object],[object Object]
Reciprocal Functions ,[object Object],[object Object],[object Object],[object Object]
Reciprocal Functions ,[object Object],[object Object],[object Object],[object Object]
Absolute Value Function ,[object Object],[object Object],[object Object],[object Object]
Greatest Integer Function ,[object Object],[object Object],[object Object],[object Object]
Trig Functions ,[object Object],[object Object],[object Object],[object Object]
Trig Functions ,[object Object],[object Object],[object Object],[object Object]
Vertical Line Test ,[object Object]
Piecewise Functions ,[object Object]
Equations That Define Functions ,[object Object]
Homework 4.2 ,[object Object],[object Object],[object Object]
4.4 – Average Rate of Change ,[object Object],[object Object]
Finding the Average Rate of Change ,[object Object]
Example 2 ,[object Object],[object Object],[object Object],[object Object]
Increasing and Decreasing Functions ,[object Object],[object Object]
State the intervals on which the function whose graph is shown is increasing or decreasing.
[object Object],[object Object],[object Object]
[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object]
Transformations ,[object Object],[object Object],[object Object],[object Object]
Exploring transformations ,[object Object],[object Object]
More transformations ,[object Object],[object Object]
General Rules for Transformations ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Even & Odd Functions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Determine Algebraically if the function is even, odd or neither
Use the rules of transformations to graph the following:
4.7 Combining Functions ,[object Object],[object Object]
Combining Functions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Examples Let Find Domain f(x)  Domain g(x)  Find
Composition of Functions
Examples If : and Find:
Composition of 3 Functions Find: If: Page 276 - # 23,25,27
Variation ,[object Object],[object Object],[object Object]
Direct Variation ,[object Object],[object Object],[object Object],[object Object],[object Object],;k is constant of proportionality
[object Object],[object Object],[object Object],[object Object],[object Object]
Inverse Variation ,[object Object],[object Object],[object Object],
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Joint Variation ,[object Object],[object Object],[object Object],[object Object]
[object Object]
Examples of Variation ,[object Object],[object Object],[object Object],[object Object],[object Object]
Express the statement as a formula. Use the given information to find the constant of proportionality ,[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object]
Modeling Quadratic & Cubic Functions ,[object Object],[object Object],[object Object]
[object Object]
[object Object]
[object Object]
[object Object]

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Afm chapter 4 powerpoint