Pre-Cal 40S Slides November 12, 2007

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

description

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

Transcript of Pre-Cal 40S Slides November 12, 2007

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 ...

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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

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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):

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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):