advertisement

Linear Vs. Non-Linear Functions We are learning to model functions as tables, graphs and equations (rules). Thursday, March 24, 2016 y 4x 3 x 0 1 2 y x 2 10 3 4 x y 0-3 4-3 -3 +4 1 +4 8-3 5 +4 12-3 9 +4 1 3 2 16-3 Solve for y 13 y 0-10 1-10 4-10 9-10 16-10 -10 +1 -9 +3 -6 +5 -1 +7 6 Label one graph “linear” and the other “non-linear” “LINEAR” 4 02-10 12-10 22-10 32-10 42-10 4(0)-3 4(1)-3 4(2)-3 4(3)-3 4(4)-3 Solve for y 0 “NON-LINEAR” With your team brainstorm characteristics of graphs, tables, and equations for both linear and non-linear functions. Characteristics of Linear Functions Graph Table Equation Characteristics of Non-Linear Functions 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.