We want to see which statements describe the given exponential function.
The correct ones are:
So here we have the function:
f(x) = 3*(1/3)^x
So this is an exponential function, and because the rate is (1/3), which is smaller than 1, this is an exponential decay.
Now the correct statements about this function are:
1)"Each successive output is the previous output divided by 3"
Exactly, for example:
f(2) = 3*(1/3)^2 = 1/3
f(3) = 3*(1/3)^3 = (1/3)/3
and so on.
2) "As the domain values increase, the range values decrease."
This is true because this is an exponential decay.
3) "The range of the function is all real numbers greater than 0."
There is no value of x such that the outcome can be negative, so the range is always positive.
If you want to learn more about exponential functions, you can read:
https://brainly.com/question/2193820
