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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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