The exponent function will be f(x) = 1/3 (4)ˣ. Then the correct option is C.
What is an exponent?
Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as
y = a(b)ˣ
At x = 1, the value of y will be 4/3. Then we have
4/3 = ab ...1
At x = 2, the value of y will be 16/3. Then we have
16/3 = ab² ...2
From equation 1 and 2, we have
b = 4 and a = 1/3
Then the function will be
f(x) = 1/3 × (4)ˣ.
Then the correct option is C.
More about the exponent link is given below.
https://brainly.com/question/5497425
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