Use the function below to find f(4).

Answer: The correct option is (C) [tex]\dfrac{256}{3}.[/tex]
Step-by-step explanation: The given function is
[tex]f(x)=\dfrac{1}{3}\times 4^x.[/tex]
We are to find the value of f(4).
To find the value of f(4), we need to substitute the value of x as 4 in the given definition of function f(x).
Substituting x = 4 in f(x), we have
[tex]f(4)=\dfrac{1}{3}\times 4^4=\dfrac{1}{3}\times 256=\dfrac{256}{3}.[/tex]
Therefore, the value of f(4) is [tex]\dfrac{256}{3}.[/tex]
Option (C) is correct.