Question

Give an example of an exponential function that models exponential growth and an example of an exponential function that models exponential decay.

Exponential models
ANSWERED
asked 2021-06-29
Give an example of an exponential function that models exponential growth and an example of an exponential function that models exponential decay.

Answers (1)

2021-06-30

Exponential function. \(\displaystyle{y}={a}{b}^{{x}}\)
For it to be exponential growth
\(a>0\)
\(b>1\)
\(a=5\)
\(b=3\)
\(\displaystyle{y}={5}{\left({3}\right)}^{{x}}\)
For it to be exponential decay, \(a>0\)
0 \(a=2\)
\(b=0.8\)
\(\displaystyle{y}={2}{\left({0.8}\right)}^{{x}}\)

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