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A day full of math games & activities. Find one near you.
Give an example of a function, f(x), with a domain of (0,5] and a range of [0,∞)
Domain corresponds to values of the function that are represented on the x-axis, while range corresponds to the values of the function that lie on the y-axis.
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.
Explanation:
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, ∞)
Thus, the example of a function with a domain of (0,5] and a range of [0,∞) is f(x) = √5 - x
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