Which function has a range of start set y such that y is less than or equal to 5 end set ?

A function has range y ≤ 5 when its graph reaches a maximum value of 5 and extends downward. Choice D is f(x) = −(x − 4)² + 5: since a square is always nonnegative, the negative square is at most 0, so f(x) is at most 5. Its maximum is 5, so its range is y ≤ 5.

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