Question

What is the multiplicative rate of change for the exponential function f(x) = 2(5/2)–x?

Answer 1

Don't you mean

f(x) = 2(5/2)^x? Use " ^ " for exponentiation.

If f(x) = 2(5/2)^x matches the original function, then the mult. rate of change is (5/2).

Answer 2

Answer: The multiplicative rate of change is
`(5)/(2)`

Explanation:

Since we have given that

The exponential function would be

`f(x)=2((5)/(2))^(-x)`

Since we know the exponential function in general :

`y=ab^(-x)`

Here, a denotes the initial amount

b denotes the multiplicative rate of change.

So, equating both the equation we get that,

`b=(5)/(2)`

Hence, the multiplicative rate of change is
`(5)/(2)`