Question

the function of exponential decay is when b is ... \b\ is greater than 1 \b\ is less than 1 \b\ is equal to 1

Explanation:

Step1: Recall exponential - function form

The general form of an exponential function is $y = a\cdot b^{x}$, where $a
eq0$, $b > 0$ and $b
eq1$.

Step2: Analyze decay condition

For the function to be an exponential - decay function, as $x$ increases, $y$ must decrease. When $0 < b<1$, as $x$ increases, $b^{x}$ gets smaller. For example, if $b = 0.5$ and $x = 1$, $b^{x}=0.5$; if $x = 2$, $b^{x}=0.25$.

Answer:

"b" is less than 1