Question

question 10 of 10
use the function below to find f(2).
f(x) = (1/3) • 4^x
a. 4
b. 8/3
c. 2
d. 16/3

Explanation:

Step1: Substitute \( x = 2 \) into the function

We have the function \( F(x)=\frac{1}{3}\cdot4^{x} \). To find \( F(2) \), we substitute \( x = 2 \) into the function. So we get \( F(2)=\frac{1}{3}\cdot4^{2} \).

Step2: Calculate \( 4^{2} \)

We know that \( 4^{2}=4\times4 = 16 \). So now the expression becomes \( F(2)=\frac{1}{3}\times16 \).

Step3: Multiply the terms

Multiplying \( \frac{1}{3} \) and \( 16 \), we get \( F(2)=\frac{16}{3} \).

Answer:

D. \(\frac{16}{3}\)