Question

Which is an exponential decay function?

Option 1: O f(x) = 2(7)
Option 2: O f(x) = e^x
Option 3: O f(x) = 9^x
Option 4: O f(x) = (-3)^x

Answer 1

Option 4: f(x) = (-3)^x is an exponential decay function. Option 4 cannot be an exponential decay (or growth) function as the base is negative, which would result in complex values for non-integer values of x

Step-by-step explanation:

An exponential decay function is a function of the form f(x) = ab^x, where a is a constant and b is a fraction between 0 and 1. In the given options,

option 4: f(x) = (-3)^x is an example of an exponential decay function. Option 4 cannot be an exponential decay (or growth) function as the base is negative, which would result in complex values for non-integer values of x. Thus, none of the options provided represent an exponential decay function.