does the function model exponential growth or decay?\n$g(x) = \\frac{1}{3} \\cdot \\left( \\frac{2}{9}…

does the function model exponential growth or decay?\n$g(x) = \\frac{1}{3} \\cdot \\left( \\frac{2}{9} \\right)^x$\nchoose 1 answer:\na growth\nb decay

does the function model exponential growth or decay?\n$g(x) = \\frac{1}{3} \\cdot \\left( \\frac{2}{9} \\right)^x$\nchoose 1 answer:\na growth\nb decay

Answer

Explanation:

Step1: Recall exponential function form

The standard form of an exponential function is $g(x) = a \cdot b^x$, where $a>0$, and $b$ determines growth/decay.

Step2: Identify $b$ in the given function

For $g(x) = \frac{1}{3} \cdot \left(\frac{2}{9}\right)^x$, $b = \frac{2}{9}$.

Step3: Compare $b$ to 1

Since $0 < \frac{2}{9} < 1$, the function represents decay.

Answer:

B. Decay