Question

Tell whether the function represents exponential growth or exponential decay. Explain your reasoning. y=(1/2)e^3x

Exponential growth and decay
ANSWERED
asked 2021-02-09
Tell whether the function represents exponential growth or exponential decay. Explain your reasoning.
\(\displaystyle{y}={\left(\frac{{1}}{{2}}\right)}{e}^{{3}}{x}\)

Answers (1)

2021-02-10
We are given the equation.
\(\displaystyle\frac{{1}}{{2}}\) times \(\displaystyle{e}^{{3}}{x}\)
2Find the pieces of the function (a and r)
\(\displaystyle{a}=\frac{{1}}{{2}}\)
r = 3x
3Go by Natural Base Functions.
If a > 0 and r > 0, function is exponential growth function.
If a > 0 BUT r < 0, function is exponential DECAY function.
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