Can you provide an example of a function f(x) that has a domain of [0, 5] and a range of [0, 0]?

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To create a function f(x) that has a domain of [0, 5] and a range of [0, 0], we need to ensure that for every x in the domain, the output of the function is constrained to only one value—namely, 0.

An example of such a function is:

f(x) = 0

In this case, no matter what value of x we choose from the domain [0, 5], the output will always be 0.

  • When x = 0, f(0) = 0
  • When x = 1, f(1) = 0
  • When x = 2, f(2) = 0
  • When x = 3, f(3) = 0
  • When x = 4, f(4) = 0
  • When x = 5, f(5) = 0

This function meets the requirement since:

  • The domain, or the set of all possible input values, is [0, 5].
  • The range, or the set of all possible output values, is {0}, which is effectively [0, 0].

Thus, f(x) = 0 is a perfect example of a function with the specified domain and range.

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