Question

Which functions represent an

| y = 5^9x-6
ƒ (x) = log 5x
y = -7^2x+9
g(x) = In (17)*
y = 4^x
exponential decay? Select ALL that apply.

Answer 1

None of the functions listed represent an exponential decay because all of them have bases greater than 1, and a true exponential decay function requires a base between 0 and 1.

Step-by-step explanation:

Understanding Exponential Decay Functions

The question asks which functions represent an exponential decay. An exponential decay function is characterized by its base between 0 and 1 since it will decrease as the value of x increases. Looking at the provided functions, we see that none of the equations have a base between 0 and 1. Therefore, none of the functions listed represent an exponential decay.

In the context of logarithms and exponents, recall that the exponential and natural logarithm functions are inverses of each other. Nonetheless, this concept does not directly help in determining whether a function is an exponential decay without considering the base of the exponential.

Note: The function including ln(17) is a constant function, and as such it does not represent exponential decay or growth.