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Greatest integer means we have to only take the value of the greatest integer possible which is less than or equal to the given number.

This implies that the greatest integer less than or equal to 4.2 is ‘4’.

Therefore, [| 4.2 |] = 4

Similarly, [| 4.6 |] = 4

Also, [| 5.4 |] = 5

If when graphed, these values give a series of steps, and hence this kind of function is known as the step function!

Greatest integer means we have to only take the value of the greatest integer possible which is less than or equal to the given number.

This implies that the greatest integer less than or equal to -2.1 is ‘-3’.

Therefore, [| -2.1 |] = -3

Similarly, [| -3.5 |] = -4

Also, [| -4.7 |] = -5

If when graphed, these values give a series of steps, and hence this kind of function is known as the step function!