Graphical Behavior
Exponential Curves
The graph of f(x) = 2x is below. The value of a is 1 and b is 2. Notice that the curve intersects the y-axis at 1, or the value of a, and that the curve is increasing from left to right. The curve approaches but never intersects the x-axis, so the x-axis is an asymptote of the curve.
The curve above is an example when the value of b is greater than 1. What happens to the curve as the value of b increases? The graph below shows how the curve changes as the value of b increases. Notice that the y-intercept remains the same, but the curve gets steeper from left to right.
![Curves_2 Curves_2](https://claregladwinresd.glk12.org/pluginfile.php/2199/mod_book/chapter/4942/Power/images/Curves_2.png)