1. Copyright © 2005 Pearson Education, Inc. Slide 9-1

2. Copyright © 2005 Pearson Education, Inc. Chapter 9

3. Copyright © 2005 Pearson Education, Inc. Slide 9-3 Functions A function describes how a dependent variable changes with respect to one or more independent variables. When there are only two variables, we often summarize them as an ordered pair with the independent variable first: (independent variable, dependent variable) We say that the dependent variable is a function of the independent variable. If x is the independent variable and y is the dependent variable, we write the function as y = f(x) 9-A

4. Copyright © 2005 Pearson Education, Inc. Slide 9-4 Representing Functions There are three basic ways to represent functions. Data Table Draw a picture or graph Write an equation 9-A

5. Copyright © 2005 Pearson Education, Inc. Slide 9-5 Domain and Range The domain of a function is the set of values that both make sense and are of interest for the independent variable. The range of a function consists of the values of the dependent variable that correspond to the values in the domain. 9-A

6. Copyright © 2005 Pearson Education, Inc. Slide 9-6 Hours of Daylight as a Function 9-A

7. Copyright © 2005 Pearson Education, Inc. Slide 9-7 Linear Functions 9-B

8. Copyright © 2005 Pearson Education, Inc. Slide 9-8 Slope-Intercept Form of a Line 9-B y = mx + b y = 3x – 7 refers to a line whose slope is equal to 3 and a y-intercept of 7.

9. Copyright © 2005 Pearson Education, Inc. Slide 9-9 Exponential Functions 9-C

10. Copyright © 2005 Pearson Education, Inc. Slide 9-10 Two Ways to Describe Exponentials 9-C

11. Copyright © 2005 Pearson Education, Inc. Slide 9-11 Changing Rates of Change 9-C