Lesson 9-4 Linear, Quadratic, and Exponential Models Obj: The student will be able to 1) Compare linear, quadratic, and exponential models 2) Given a set of data, decide which type of function models the data and write an equation to describe the function HWK: p 653 8-15 all

Ex 1) Linear Ex 2) Quadratic Ex 3) Exponential Describe what each model looks like graphically, in table form and in equation form. Ex 1) Linear Ex 2) Quadratic Ex 3) Exponential

In the real world, people and companies often gather data and then must decide what kind of relationship (if any) they think best describes their data.

What kind of model best describes the data What kind of model best describes the data? Explain or show how you came to your conclusions. Ex 4) {(-3, -14), (-2, -9), (-1, -6), (0, -5), (1, -6), (3, -9), (3, -14)}

Ex 5) {(-3, 0.30), (-2, 0.44), (0, 1), (1, 1.5), (2, 2.25), (3, 3.38)}

Ex 6) °C °F 32 5 41 10 50 15 59 20 68

Ex 7) Use the data in the table to describe how the number of people changes. Then write a function that models the data. Use your function to predict the number of people who received the email after one week. Email Forwarding Time (days) Number of people who received the email 8 1 56 2 392 3 2744