Give an example of a function, f(x), with a domain of (0,5] and a range of [0,∞)
Answer: The example of a function with the domain of (0,5] and a range of [0,∞) is f(x) = √5 - x
Go through the explanation to understand better.
One can "construct" many functions with that property, for example, f(x) = √5 - x
Domain: 5 - x ≥ 0 ⇒ x ≤ 5
Look at the graph of the function shown below.
Clearly, the range of this function is [0, ∞)