Question

What is the range of the greatest integer function?

Answer 1

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 $\mathrm{\mathbb{Z}}$, i.e., the set of all integers since it reaches only integer values.

Hence, the range of the greatest integer function is $\mathrm{\mathbb{Z}}$.