How do you tell whether $f (x) = {(\frac{6}{5})}^{x}$ $f(x)=(6/5)^x$ is an exponential growth or decay?

Question

1740 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-10T09:35:53

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

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

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

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

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

How do you tell whether f(x)=(6/5)^xf(x)=(65)xf(x)=(6/5)^x is an exponential growth or decay?