pre-cal 40s slides november 12, 2007

9
Overgrown Redwood Log and Wildflowers The Natural Logarithm ...

Upload: darren-kuropatwa

Post on 01-Jun-2015

450 views

Category:

Technology


3 download

DESCRIPTION

Solving logarithmic equations, properties of exponential and logarithmic functions ... we didn't quite make it to the natual logarithm.

TRANSCRIPT

Page 1: Pre-Cal 40S Slides November 12, 2007

Overgrown Redwood Log and Wildflowers

The Natural Logarithm ...

Page 2: Pre-Cal 40S Slides November 12, 2007

Now lets solve some logarithmic equations ...

Page 3: Pre-Cal 40S Slides November 12, 2007

Now lets solve some logarithmic equations ...

Page 4: Pre-Cal 40S Slides November 12, 2007
Page 5: Pre-Cal 40S Slides November 12, 2007

Properties of exponential functions

Properties of the exponential growth function

Domain: Range: Root(s): y-intercept: Increasing of Decreasing: Concavity: Asymptote(s):

For example, let's look at

Page 6: Pre-Cal 40S Slides November 12, 2007

Properties of exponential functions

As an example let's look at

Properties of the exponential decay function

Domain: Range: Root(s): y-intercept: Increasing of Decreasing: Concavity: Asymptote(s):

Page 7: Pre-Cal 40S Slides November 12, 2007
Page 8: Pre-Cal 40S Slides November 12, 2007

Properties of logarithmic functions

As an example we'll look at

Properties of the logarithm function

Domain: Range: Root(s): y-intercept: Increasing of Decreasing: Concavity: Asymptote(s):

Page 9: Pre-Cal 40S Slides November 12, 2007

Properties of logarithmic functions

As an example we'll look at

Properties of the logarithm function

Domain: Range: Root(s): y-intercept: Increasing of Decreasing: Concavity: Asymptote(s):