Greatest Integer Function

Front

What is the greatest integer function?

Back

The greatest integer function, denoted as [[x]], is a function that takes a real number x and returns the largest integer less than or equal to x.

Front

What is the notation for the greatest integer function?

Back

The notation for the greatest integer function is [[x]].

Front

Evaluate [[3.7]].

Back

3

Front

Evaluate [[-2.3]].

Back

-3

Front

Evaluate [[-7.9]].

Back

-8

Front

What is the graph of the greatest integer function like?

Back

The graph of the greatest integer function is a step function that jumps at each integer value.

Front

What is the value of [[5]]?

Back

5

Front

What is the value of [[-1]]?

Back

-1

Front

If x = 4.5, what is [[x]]?

Back

4

Front

If x = -3.1, what is [[x]]?

Back

-4