Identify the function as exponential growth or exponential decay.Then identify the growth or decay factor. y=5.2*3^x

Question
Exponential growth and decay
asked 2020-11-11
Identify the function as exponential growth or exponential decay.Then identify the growth or decay factor. \(\displaystyle{y}={5.2}\cdot{3}^{{x}}\)

Answers (1)

2020-11-12
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 \(\displaystyle{y}={5.2}\cdot{3}^{{x}}\)
Since b=3>1, the given function represents an exponential growth.
0

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