Question

Which function represents exponential decay?

a. (f(x) = 1/2(2)ˣ)
b. (f(x) = 3/4(-1/5)ˣ)
c. (f(x) = 3(7/2)ˣ)
d. (f(x) = 2(2/3)ˣ)

Answer 1

The function that represents exponential decay is f(x) = 3/4(-1/5)^x (option b). In exponential decay, the base of the exponential term should be between 0 and 1 (exclusive). As x increases, the value of the function decreases exponentially.

Step-by-step explanation:

The function that represents exponential decay is f(x) = 3/4(-1/5)x (option b). In exponential decay, the base of the exponential term should be between 0 and 1 (exclusive). In this case, the base is -1/5, which is between 0 and 1. As x increases, the value of the function decreases exponentially.