Question

Tell whether the function represents exponential growth or exponential decay. f(x)=3/5(5/4)^x

Exponential growth and decay
ANSWERED
asked 2021-05-09
Tell whether the function represents exponential growth or exponential decay. \(\displaystyle{f{{\left({x}\right)}}}=\frac{{3}}{{5}}{\left(\frac{{5}}{{4}}\right)}^{{x}}\)

Answers (1)

2021-05-10
Exponential Decay when \(\displaystyle{y}={A}{\left({B}\right)}^{{x}}\) when B is between 0 to 1.
Exponential growth \(\displaystyle{y}={A}{\left({B}\right)}^{{x}}\) when B is greater than 1.
Since \(\displaystyle\frac{{5}}{{4}}\) is greater than 1 it is exponential growth.
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