QuestionThe equation of an exponential function has the form $y=A b^{x}$. How can you tell from the equation whether the exponential function represents growth or decay?

Studdy Solution
For exponential decay, the base $b$ must be between 0 and 1 (i.e., $0 < b < 1$). This is because as $x$ increases, $b^x$ will decrease, causing $y$ to decrease.
To determine whether the exponential function represents growth or decay, check the value of the base $b$: - If $b > 1$, the function represents exponential growth. - If $0 < b < 1$, the function represents exponential decay.