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Linear Vs. Non-Linear Functions

# Linear Vs. Non-Linear Functions

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## Linear Vs. Non-Linear Functions

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1. Linear Vs. Non-Linear Functions We are learning to model functions as tables, graphs and equations (rules). Wednesday, April 2, 2014

2. 3 2 4 4 0 1 3 2 0 1 12-10 02-10 4(0)-3 22-10 42-10 4(1)-3 4(2)-3 4(3)-3 32-10 4(4)-3 0-3 4-3 8-3 1-10 12-3 0-10 4-10 16-3 9-10 16-10 +4 +1 +3 -9 +4 -10 +5 -3 -6 -1 6 1 +4 +4 5 +7 9 13 Label one graph “linear” and the other “non-linear” “NON-LINEAR” “LINEAR”

3. With your team brainstorm characteristics of graphs, tables, and equations for both linear and non-linear functions.

4. Group Practice • With your group identify the representations (table and equation) for the functions and identify each as either “linear” or “non-linear.” • Be sure to provide proof in complete sentences. • Then explain in complete sentences what it means for a function to be linear. Next explain what it means for a function to be non-linear. • Demonstrate your reasoning in more than one way.