Graphing Functions and Determining Key Components of Functions

Tutoring on Graphing Functions and Determining Key Components of Functions

Learning Objectives:

Understand to Graph Functions and Determine Key Components of Functions.

 

Graphing Functions and Determining Key Components of Functions

The Key Features of Functions Graphs are

1. Domain and Range

2. x­intercepts and  y­intercepts

3. Intervals of increasing,decreasing, and constant behavior

4. Parent Equations

5.Maxima and Minima The domain is the set of all possible inputs or  x­values. The range is the set of all possible outputs or  y­values.   x­intercepts is where the graph crosses the x­axis. y­intercepts  is where the graph crosses the y­axis. Types of Function Behavior are

1)  Increasing 2)  Decreasing 3)  Constant Identifying Parent Functions from equations, identify the most important operation:

 • Special Operations (absolute value) 

• Division by x

• Highest Exponent (this includes square roots and cube  roots)

 

Hook Questions

1.What is a parent function?

2. What are the types of Function Behavior? 

 

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