# How do you determine whether each function represents exponential growth or decay y=10(3.5)^x?

May 18, 2016

In $y = 10 {\left(3.5\right)}^{x}$, as $a > 0$ and $b > 1$, we have exponential growth.

#### Explanation:

In a function $y = a \cdot {b}^{x}$,

if $a > 0$ and $b$ lies between $0$ and $1$ i.e. $0 < b < 1$,

it is exponential decay.

and if $a > 0$ and $b$ is greater than $1$ i.e. $b > 1$,

it is exponential growth.

Here in $y = 10 {\left(3.5\right)}^{x}$, as $a > 0$ and $b > 1$, we have exponential growth.