1. Math 1320 Chapter 9: Nonlinear Functions and Models 9.1 Quadratic Functions and Models

2. Definition

3. Features of the Graph

4. Features cont’d

5. Example 1

6. Example 2

7. Example 3

8. Example 4

9. Example 4 cont’d 1.Find the monthly cost as a function of the log-on fee x. 2.Find the monthly profit as a function of x. 3.Determine the log-on fee you should charge to obtain the largest possible monthly profit. 4.What is the largest possible monthly profit?

10. Example 5 Pack-Em-In Real Estate is building a new housing development. The more houses it builds, the less people will be willing to pay, due to crowding and smaller lot sizes. In fact, if it builds 40 houses in this particular development, it can sell them for $200,000 each, but if it builds 60 houses, it will only be able to get $160,000 each. Obtain a linear demand equation and hence determine how many houses Pack-Em-In should build to get the largest revenue. What is the largest possible revenue?