AhmaudB151836 AhmaudB151836
  • 30-10-2022
  • Mathematics
contestada

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

Is it growth or decay exponential functionEvaluate the function for the given value x3y212x class=

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RominaA346931 RominaA346931
  • 30-10-2022

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]

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