Question

Determine whether the function represents exponential growth or exponential decay f(x)=(0.2)^{x}

Exponential growth and decay
ANSWERED
asked 2021-07-31
Determine whether the function represents exponential growth or exponential decay. Identify the percent rate of change. Then graph the function.
\(\displaystyle{f{{\left({x}\right)}}}={\left({0.2}\right)}^{{{x}}}\)

Answers (1)

2021-08-01
Step 1 The function is an exponential decay since its base (which is 0.2) is less than 1.
\(\displaystyle{1}-{r}={0.2}\)
\(\displaystyle{r}={0.8}\)
\(\displaystyle{r}={80}\%\)
The rate of decay is about \(\displaystyle{80}\%\)
Step 2
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