Question

The greatest integer funtion, shown below, is defined to be the greatest ______ less than or equal to x.

f(x)={{x}}

Answer 1

Integer

Explanation:

The greatest integer function (as known as the floor function), is defined as to be the greatest integer less than or equal to x.

It is the function:

`f(x)=\floor[x]`

For instance, if x is 2, then f(x) is 2. If x is 2.7, then f(x) is still 2. 2 is the greatest integer less than or equal to 2.

You can also see this from the attached graph.