Question

# Identify each function as exponential growth or decay, and find the growth or decay factor. y=3(4^x)

Exponential growth and decay
Identify each function as exponential growth or decay, and find the growth or decay factor.
$$\displaystyle{y}={3}{\left({4}^{{x}}\right)}$$

We are given the function: $$\displaystyle{y}={3}{\left({4}^{{x}}\right)}$$
The function is of exponential growth because it is in the form: $$\displaystyle{y}={a}{\left({1}+{r}\right)}^{{x}},{r}{>}{0}$$