1. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.2 - 1

2. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.2 - 2 Inverse, Exponential and Logarithmic Functions Chapter 11

3. Copyright © 2010 Pearson Education, Inc. All rights reserved Sec 11.2 - 3 11.2 Exponential Functions

4. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 4 11.2 Exponential Functions Objectives 1.Define exponential functions. 2.Graph exponential functions. 3.Solve exponential equations of the form a x = a k for x. 4.Use exponential functions in applications involving growth or decay.

5. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 5 11.2 Exponential Functions Exponential Functions Defined Exponential Function For a > 0, a ≠ 1, for all real numbers x, F(x) = a x Defines the exponential function with base a.

6. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 6 11.2 Exponential Functions Graphing Exponential Functions with a > 1

7. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 7 11.2 Exponential Functions Exponential Functions Defined

8. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 8 11.2 Exponential Functions Graphing Exponential Functions with a < 1 as x gets larger y decreases

9. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 9 11.2 Exponential Functions Characteristics of the Exponential Graph

10. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 10 11.2 Exponential Functions Graphing More Complicated Exponential Functions

11. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 11 11.2 Exponential Functions Solving Exponential Equations

12. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 12 11.2 Exponential Functions Solving Exponential Equations

13. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 13 11.2 Exponential Functions Solving Exponential Equations

14. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 14 11.2 Exponential Functions Solving Exponential Equations

15. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 15 11.2 Exponential Functions Applied Problems Involving Exponential Functions This is the initial amount injected

16. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 16 11.2 Exponential Functions Applied Problems Involving Exponential Functions

17. Copyright © 2010 Pearson Education, Inc. All rights reserved. Sec 11.2 - 17 11.2 Exponential Functions Applied Problems Involving Exponential Functions