Question

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

Answer 1

(a)Exponential Decay

(b)2/27

Step-by-step explanation:

Given the function:

`y=2\mleft((1)/(3)\mright)^x`

(a)The base of x (that is 1/3) is less than 1, therefore, the function represents exponential decay.

(b)Next, when x=3

`\begin{gathered} y=2\mleft((1)/(3)\mright)^3 \\ =2*(1)/(3^3) \\ =2*(1)/(27) \\ =(2)/(27) \end{gathered}`