Example
In this example lets consider a case where f(x) = 3x
Notice we have an exponential function with a base of 3. The
values for this function for -3 through 3 would be the following:
| x |
-3 |
-2 |
-1 |
0 |
1 |
2 |
3 |
|
F(x) |
0.03 |
0.11 |
0.33 |
1 |
3 |
9 |
27 |
The graph of these values would look like the following:
 For
this function as x increases so does y, also as x increases so does
the slope of the line. Note that the graph passes through point
(0,1), all functions with this form will pass through this point.
Another important aspect to point out is that the curve never passes
through the x-axis. As we get smaller numbers the graph gets closer
and closer to the x-axis but it will never pass through this axis.
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