We are given the function:
\(\displaystyle{y}={3}{\left({4}^{{x}}\right)}\)

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

We find the growth factor: 1+r=4

r=4-1

r=3=300%

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

We find the growth factor: 1+r=4

r=4-1

r=3=300%