The document discusses properties of exponential and logarithmic functions, including domains, ranges, roots, y-intercepts, increasing or decreasing behavior, concavity, and asymptotes. Examples are provided of exponential growth and decay functions as well as logarithmic growth and decay functions. Compound interest is also briefly discussed.

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

2. Now lets solve some logarithmic equations ...

3. Now lets solve some logarithmic equations ...

4. And now, solve these logarithmic equations ...

5. And now, solve these logarithmic equations ...

6. And now, solve these logarithmic equations ...

7. Properties of exponential functions
a>1 For example, let's look at
Properties of the exponential growth function
Domain:
Range:
Root(s):
y-intercept:
Increasing of Decreasing:
Concavity:
Asymptote(s):

8. Properties of exponential functions
As an example let's look at
0<a<1
Properties of the exponential decay function
Domain:
Range:
Root(s):
y-intercept:
Increasing or Decreasing:
Concavity:
Asymptote(s):

9. Properties of logarithmic functions
For example, let's look at
a > 0, a ≠ 1
Properties of the logarithmic growth function
Domain:
Range:
Root(s):
y-intercept:
Increasing of Decreasing:
Concavity:
Asymptote(s):

10. Properties of logarithmic functions
0<a<1 As an example we'll look at
Properties of the logarithmic decay function
Domain:
Range:
Root(s):
y-intercept:
Increasing of Decreasing:
Concavity:
Asymptote(s):

11. Who wants to be a millionaire?
What is compound interest?
How does this formula quot;workquot;?
How much money will you have after 5 years if you invest
$300.00 at 6% interest compounded annually? monthly?