Explain **greatest integer function** & **smallest integer function** with some examples.

**Greatest Integer Function:**

The function whose value at any number *x* is the greatest integer less than or equal to *x* is called greatest integer function.The graph of greatest integer function is given below

**Examples:**

**Smallest Integer Function:**

The function whose value at any number *x* is the smallest integer greater than or equal to *x* is called smallest integer function.The graph of greatest integer function is given below

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