Question

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

Exponential growth and decay
ANSWERED
asked 2020-12-03
Identify each function as exponential growth or decay, and find the growth or decay factor.
\(\displaystyle{y}={3}{\left({4}^{{x}}\right)}\)

Answers (1)

2020-12-04
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%
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