Given that f(x)=(1/pi)^x, what is the range of f(x) on the interval [0,inf)?
Give your answer in interval notation.
The range of a function is the set of all possible outputs of the function. In this case, the function is f(x) = (1/pi)^x, and the interval is [0,inf).
As x increases, the value of (1/pi)^x decreases. This means that the range of f(x) on the interval [0,inf) is all numbers between 0 and 1, inclusive.
In other words, for any real number r in the range 0 <= r <= 1, there exists a value of x in the interval [0,inf) such that f(x) = r. In interval notation, the range is [0,1].