9.2 1

Section 9.2 Exponential Functions Evaluating Rational & Irrational Exponents Graphing Exponential Functions f(x) = ax

Equations with x and y Interchanged Applications of Exponential Functions

Use calculators to calculate graphing points

9.2 2

Example – World Population Growth

9.2 3

You will need your scientific calculators

Evaluating Rational & Irrational Exponents

81333

)2())2(5()3(5

255...242.165

34.27)43(35

...957.947...438.03...709.15

41682

223

3

34.243

31

xyxyxy

yyx

xxx

xx

9.2 4

Definitions and Basic Examples

9.2 5

Graphing an Exponential Function

9.2 6

When a is a Fraction Less Than One

9.2 7

Changing the Base a Value

9.2 8

Translating Right and Left

9.2 9

The Inverse of Exponential:Interchanging x and y

9.2 10

Interest Compounded Annually

9.2 11

What Next? Logarithmic Functions Section 9.3