Wetzel

Math 110

4.2 - Exponential Functions

Exponential Functions -        

                                           where  and

            Definition -

            Graph -

                        When :

·        x-axis is a horizontal asymptote as

·        f(x) is increasing and continuous throughout the domain

·        the graph goes through the points

            Graph –

                        When :

·        x-axis is a horizontal asymptote as

·        f(x) is decreasing and continuous throughout the domain

·        the graph goes through the points

                        Note:  All translations, (a, h, k), still apply to exponential functions

The Number  -

The Natural Exponential Function –

HW:     6^th Ed.  p.385 #1-15odd, 25, 27, 49, 55

            5^th Ed.  p.376 #1-15odd, 25, 27, 45, 55