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Question

What is the range of the greatest integer function?


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Solution

Determine the range of the greatest integer function.

The step function is another name for the greatest integer function. A function that rounds up a number to the nearest integer less than or equal to the given number is known as the greatest integer function. The range of the greatest integer function is ℤ, i.e., the set of all integers since it reaches only integer values.

Hence, the range of the greatest integer function is ℤ.


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