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# Identify the function as exponential growth or exponential decay. y=0.3⋅0.5^x

Exponential growth and decay
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asked 2021-06-25
Identify the function as exponential growth or exponential decay.
$$\displaystyle{y}={0.3}⋅{0.5}^{{x}}$$

## Answers (1)

2021-06-26

Consider the exponential function $$\displaystyle{y}={a}\cdot{b}^{{x}}$$ it is an exponential growth if $$b>1$$ and exponential decay if 0 It is given that $$\displaystyle{y}={0.3}\cdot{0.5}^{{x}}$$
Since $$\displaystyle{b}={0.5}{<}{1}$$, the given function represents an exponential decay.

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