Which statements are true about exponential decay functions? Check all that apply.The domain is all real numbers.As the input increases, the output increases.The graph is the same as that of an exponential growth function.The base must be less than 1 and greater than 0.The function has a constant multiplicative rate of change.
Answer
A
The domain is all real numbers.
B
As the input increases, the output increases.
C
The graph is the same as that of an exponential growth function.
D
The base must be less than 1 and greater than 0.
E
The function has a constant multiplicative rate of change.
Explanation
An exponential decay function has the form f(x) = a·b^x, where a is nonzero and 0 < b < 1. Its domain is all real numbers, and each increase of 1 in the input multiplies the output by the same factor b, so it has a constant multiplicative rate of change. Because b is between 0 and 1, the output decreases as the input increases; its graph is not the same as an exponential growth graph.
AI-written and checked against the verified answer.