# Determine whether each function is an example of exponential growth or decay. Then find the y-intercept. y=0.1(10)^x

Determine whether each function is an example of exponential growth or decay. Then find the y-intercept. $$\displaystyle{y}={0.1}{\left({10}\right)}^{{x}}$$

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Benedict
$$\displaystyle{y}={0.1}{\left({10}\right)}^{{x}}$$
$$\displaystyle{y}={0.1}{\left({10}\right)}^{{0}}$$
y=0.1(1)
y=0.1
Because b is greater than 1, the function represents exponential growth. We find y-intercept by plugging in 0 for x and then solving for y.