Exponential functions are functions where f(x) = ax + B where a is any real constant and B is any expression. For example, f(x) = e-x – 1 is an exponential function.
To graph exponential functions, remember that unless they are transformed, the graph will always pass through (0, 1) and will approach, but not touch or cross the x-axis. Example:
1. Problem: Graph f(x) = 2x.
Solution: Plug in numbers for x and
find values for y, as we have
done with the table below.
_____________________
| x | 0 | 1 | 2 | 3 |
———————
| y | 1 | 2 | 4 | 8 |
———————
Now plot the points and draw the
graph (shown below).
The Singularity Effect 