Question

Which function represents exponential decay?

a) f(x) = 1/2 * (3/2)ˣ
b) f(x) = 1/2 * (-3/2)ˣ
c) f(x) = 4 * (-2/3)ˣ
d) f(x) = 4 * (2/3)ˣ

Answer 1

Option b) f(x) = 1/2 * (-3/2)^x represents exponential decay.

Step-by-step explanation:

The function that represents exponential decay is option b) f(x) = 1/2 * (-3/2)x.

Exponential decay occurs when the base of the exponential function is between 0 and 1. In option b), the base is (-3/2), which is between 0 and 1. Therefore, option b) represents exponential decay.