# How do you tell whether f(x)=(6/5)^x is an exponential growth or decay?

Mar 10, 2017

Growth, since $\frac{6}{5} > 1$

#### Explanation:

$f \left(x\right) = {\left(\frac{6}{5}\right)}^{x}$

Since $\frac{6}{5} > 1$ $f \left(x\right)$ will grow exponentially for increasing $x$

This can be seen from the graph of $f \left(x\right)$ below:

graph{(6/5)^x [-12.65, 12.67, -6.32, 6.34]}