Inverse, Exponential and Logarithmic Functions Chapter 11 Inverse, Exponential and Logarithmic Functions

Exponential Functions 11.2 Exponential Functions

11.2 Exponential Functions Objectives Define exponential functions. Graph exponential functions. Solve exponential equations of the form ax = ak for x. Use exponential functions in applications involving growth or decay. Copyright © 2010 Pearson Education, Inc. All rights reserved.

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

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

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

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

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

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

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

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

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

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

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

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

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