Pre-Cal 40S April 22, 2009

Post on 18-Dec-2014

445 views 0 download

description

More solving logarithmic equations and a gentle introduction to the number e.

Transcript of Pre-Cal 40S April 22, 2009

Overgrown Redwood Log and Wildflowers

The Natural Logarithm ...

Now lets solve some logarithmic equations ...

Now lets solve some logarithmic equations ...

And now, solve these logarithmic equations ...

And now, solve these logarithmic equations ...

And now, solve these logarithmic equations ...

Properties of exponential functions

Properties of the exponential growth functionDomain: Range: Root(s): y-intercept: Increasing of Decreasing: Concavity: Asymptote(s):

For example, let's look ata > 1

As an example let's look at

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

0 < a < 1

Properties of exponential functions

Properties of the exponential decay function

Properties of logarithmic functions

Properties of the logarithmic growth functionDomain: Range: Root(s): y-intercept: Increasing of Decreasing: Concavity: Asymptote(s):

For example, let's look ata > 0, a ≠ 1

As an example we'll look at0 < a < 1

Properties of logarithmic functions

Properties of the logarithmic decay functionDomain: Range: Root(s): y-intercept: Increasing of Decreasing: Concavity: Asymptote(s):

Who wants to be a millionaire?

What is compound interest?How does this formula "work"?

How much money will you have after 5 years if you invest $300.00 at 6% interest compounded annually? monthly?