Question

Identify the function as exponential growth or exponential decay.Then identify the growth or decay factor. y=1.3(1/4)^x

Exponential growth and decay
ANSWERED
asked 2021-06-21
Identify the function as exponential growth or exponential decay.Then identify the growth or decay factor.
\(\displaystyle{y}={1.3}{\left(\frac{{1}}{{4}}\right)}^{{x}}\)

Expert Answers (1)

2021-06-22

Consider the exponential function \(\displaystyle{y}={a}\cdot{b}^{{x}}\) is is an exponential growth if b>1 and exponential decay if 0 It is given that \(\displaystyle{y}={1.3}{\left(\frac{{1}}{{4}}\right)}^{{x}}\)
Since \(\displaystyle{b}=\frac{{1}}{{4}}{<}{1}\), the given function represents an exponential decay.

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