$\:f(x)\:$ is called the integer part of $\:x\:$ because the domain is $\:R\:$ (real numbers) and range is $\:Z\:$ (integers).
Work Step by Step
You can help us out by revising, improving and updating this answer.Update this answer
After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.