# How do you determine if the equation y = 30(2^x) represents exponential growth or decay?

Jul 5, 2016

The eqn. represents Exponential Growth.

#### Explanation:

The eqn. represents exponential growth. This is since the Exponential fun. ${2}^{x}$ is an increasing fun., i.e., to say that as $x$ increases, so does $f \left(x\right) = {2}^{x}$ and hence, $y = 30 \cdot {2}^{x}$.

In general, an Exponential Fun. $F \left(x\right) = {a}^{x} , x \in \mathbb{R}$ is increasing fun., if $a > 1$ and is decreasing if $a \in \left(0 , 1\right) .$

In case, this is helpful, the pleasure all mine! Enjoy Maths.!