Compare Linear and Non Linear Functions

Name: ________________________________________________________________ Class: 8-1 or 8-2
Chapter 5: Lesson 5.5 Comparing Linear and Non-Linear Functions
Function #1: y = x
Linear or Non-Linear?
Type of Function:
How can you determine this from the Equation?
Use your calculator to help you view the graph and the table. Then draw the graph below.
What do you notice about the Graph?
What patterns do you notice in the Table of Values?
Page
1
Comparing Linear and Non-Linear Functions
Function #2: y = x2
Linear or Non-Linear?
Type of Function:
How can you determine this from the Equation?
Use your calculator to help you view the graph and the table. Then draw the graph below.
What do you notice about the Graph?
What patterns do you notice in the Table of Values?
Page
2
Comparing Linear and Non-Linear Functions
Function #3: y = √x
Linear or Non-Linear?
Type of Function:
How can you determine this from the Equation?
Use your calculator to help you view the graph and the table. Then draw the graph below.
What do you notice about the Graph?
What patterns do you notice in the Table of Values?
Page
3
Comparing Linear and Non-Linear Functions
Function #4: y = x3
Linear or Non-Linear?
Type of Function:
How can you determine this from the Equation?
Use your calculator to help you view the graph and the table. Then draw the graph below.
What do you notice about the Graph?
What patterns do you notice in the Table of Values?
Page
4
Comparing Linear and Non-Linear Functions
Function #5: y = 3x
Linear or Non-Linear?
Type of Function:
How can you determine this from the Equation?
Use your calculator to help you view the graph and the table. Then draw the graph below.
What do you notice about the Graph?
What patterns do you notice in the Table of Values?
Page
5
Comparing Linear and Non-Linear Functions
Function #6: y = │x│
Linear or Non-Linear?
Type of Function:
How can you determine this from the Equation?
Use your calculator to help you view the graph and the table. Then draw the graph below.
What do you notice about the Graph?
What patterns do you notice in the Table of Values?
Page
6