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Name: _______________________________ Pd: ________ Date: _________________________ 4.4 Comparing Linear and Non-Linear Functions The graph of a linear function shows a _________________________ rate of change. A __________________________ function does not have a ___________________________ rate of change. So, its graph is not a _________________. Example: Does the table represent a linear or nonlinear function? Explain. a) b) Example: Does the graph represent a linear or nonlinear function? Explain. a) b) You Try: Does the table or graph represent a linear or nonlinear function? Explain 1) 2) 3) Example: Which equation represents a nonlinear function? Explain why or why not for each option. Example: Account A earns simple interest. Account B earns compound interest. The table shows the balances for 5 years. Graph the data and compare the graphs. Practice: Does the equation represent a linear or nonlinear function? Explain. 1) 𝑦 = 𝑥 + 5 2) 𝑦 = 4𝑥 3 3) 𝑦 = 1 − 𝑥 2