Question

Identify the type of function represented by f(x) = 3 (1.5)x (at the top)

A. Quadratic
B. Exponential decay
C. Exponential growth
D. Linear

Answer 1

The function f(x) = 3 (1.5)^x is an exponential growth function since the base of the exponent is greater than 1, indicating increasing value as x increases.

Step-by-step explanation:

The function represented by f(x) = 3 (1.5)x is an exponential growth function. This is because the base of the exponent, 1.5, is greater than 1, which means as x increases, f(x) will increase at an increasing rate.

Exponential growth occurs when the rate of growth is proportional to the current value, leading to the growth becoming more rapid as time goes on, which matches the equation given for f(x).