Question

Which statements are true about exponential decay functions? Check all that apply. 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.

Answer 1

Exponential decay are; the domain is all real numbers, the base must be less than 1 and greater than 0 and the function has a constant multiplicative rate of change. The answers are letters A, D and E. An example is when there are 70000 bacteria present in a culture and reduced by half every four hours, the number of bacteria will decrease. The bacteria will experience an exponential decay because it decreases its number at a constant decay. 

Answer 2

Exponential decay is described as when the quantity of any entity decreases in accordance with the entity's present value. For example - if a group of population decreases and the decreasing rate value is proportional to the size of the population.

So, the correct options are :

A. The domain is all real numbers. (the function is always defined for real values)

D. The base must be less than 1 and greater than 0.  

E. The function has a constant multiplicative rate of change.