# What is the end behavior of the function f(x) = 5^x?

For an increasing function like this, the end behavior at the right "end" is going to infinity. Written like: as $x \rightarrow \setminus \infty , y \rightarrow \setminus \infty$ .
That means that large powers of 5 will continue to grow larger and head toward infinity. For example, ${5}^{3} = 125$.
The left end of the graph appears to be resting on the x-axis, doesn't it? If you calculate a few negative powers of 5, you will see that they get very small (but positive), very quickly. For example: ${5}^{-} 3 = \frac{1}{125}$ which is a pretty small number! It is said that these output values will approach 0 from above, and will never equal exactly 0! Written like: as $x \rightarrow \setminus - \setminus \infty , y \rightarrow {0}^{+}$ . (The raised + sign indicates from the positive side)