Question

# Identify the function as exponential growth or exponential decay.Then identify the growth or decay factor. y=1.3(1/4)^x

Exponential growth and decay
Identify the function as exponential growth or exponential decay.Then identify the growth or decay factor.
$$\displaystyle{y}={1.3}{\left(\frac{{1}}{{4}}\right)}^{{x}}$$

Consider the exponential function $$\displaystyle{y}={a}\cdot{b}^{{x}}$$ is is an exponential growth if b>1 and exponential decay if 0 It is given that $$\displaystyle{y}={1.3}{\left(\frac{{1}}{{4}}\right)}^{{x}}$$
Since $$\displaystyle{b}=\frac{{1}}{{4}}{<}{1}$$, the given function represents an exponential decay.