what is the growth of the exponetial function of f(x) = 2(3)^x

Question

a. 2
b. 3
c. x
d. 6

Answer 1

The growth of an exponential function such as \( f(x) = 2(3)^x \) is determined by the base of the exponent. In this case, the base is 3. Therefore, the function grows exponentially at a rate proportional to 3.

So, the correct answer regarding the growth rate of the function \( f(x) = 2(3)^x \) is:

b. 3