Question

7 Which of the following functions are an example of exponential decay?

Answer 1

SOLUTION

Explanation:

There are two types of exponential functions: exponential growth and exponential decay. In the function f (x) = a(b)^x when b > 1, the function represents exponential growth. In the function f (x) =a(b)^x when 0 < b < 1, the function represents exponential decay.

$Considering\text{ our question;}$$\begin{gathered} For\text{ the equation I;} \\ b=\frac{1}{2}\Rightarrow decay \end{gathered}$$\begin{gathered} For\text{ the equation II;} \\ b=3\Rightarrow growth \end{gathered}$$\begin{gathered} For\text{ the equation III;} \\ b=\frac{1}{2}\Rightarrow decay \end{gathered}$

Final answer: