Question

Determine whether each function is an example of exponential growth or decay. Then find the y-intercept. y=0.6(1/10)^x

Exponential growth and decay
ANSWERED
asked 2021-06-01

Determine whether each function is an example of exponential growth or decay. Then find the y-intercept. \(y=0.6(1/10)^x\)

Expert Answers (1)

2021-06-02
This equation is a form of exponential decay because the number being raised the power is a fraction, and whenever a fraction is raised to a positive power, the result decreases. In order to find the y-intercept, plug in zero as the x and find y. Whenever a number is raised to the zero power, the answer is always one.
\(\displaystyle{y}={0.6}{\left(\frac{{1}}{{10}}\right)}^{{x}},{x}={0},{y}={0.6}{\left(\frac{{1}}{{10}}\right)}^{{0}}={0.6}\)
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