tell whether the function represents exponential growth or exponential decay. then graph the function (see…

Explanation:

Step1: Recall exponential function form

The general form of an exponential - function is $y = ab^{cx}$, where $a\neq0$, $b>0$ and $b\neq1$. For the natural - exponential form $y = ae^{cx}$, if $c>0$, it is exponential growth; if $c < 0$, it is exponential decay.

Step2: Analyze $y = 3e^{2x}$

For the function $y = 3e^{2x}$, here $a = 3$ and $c = 2$. Since $c=2>0$, the function $y = 3e^{2x}$ represents exponential growth.

Step3: Analyze $y = 0.25e^{-3x}$

For the function $y = 0.25e^{-3x}$, here $a = 0.25$ and $c=-3$. Since $c = - 3<0$, the function $y = 0.25e^{-3x}$ represents exponential decay.

Answer:

18. The function $y = 3e^{2x}$ represents exponential growth.
19. The function $y = 0.25e^{-3x}$ represents exponential decay.