Is it growth or decay exponential functionEvaluate the function for the given value: x=3y=2(1/2)^x

Answer:
(a)Exponential Decay
(b)2/27
Explanation:
Given the function:
[tex]y=2\mleft(\frac{1}{3}\mright)^x[/tex](a)The base of x (that is 1/3) is less than 1, therefore, the function represents exponential decay.
(b)Next, when x=3
[tex]\begin{gathered} y=2\mleft(\frac{1}{3}\mright)^3 \\ =2\times\frac{1}{3^3} \\ =2\times\frac{1}{27} \\ =\frac{2}{27} \end{gathered}[/tex]