Question

greatest integer function practice
evaluate the following examples of the greatest integer function:
$f(3.4)=3.4 = $
$f(0.8)=0.8 = $
$f(-1.7)=-1.7 = $
$f(-3.5)=-3.5 = $

Explanation:

Step1: Define greatest integer function

The greatest integer function $\lfloor x
floor$ (or $[[x]]$) returns the largest integer less than or equal to $x$.

Step2: Evaluate $\lfloor 3.4

floor$
Largest integer ≤ 3.4 is 3.

Step3: Evaluate $\lfloor 0.8

floor$
Largest integer ≤ 0.8 is 0.

Step4: Evaluate $\lfloor -1.7

floor$
Largest integer ≤ -1.7 is -2.

Step5: Evaluate $\lfloor -3.5

floor$
Largest integer ≤ -3.5 is -4.

Answer:

$\lfloor 3.4
floor = 3$
$\lfloor 0.8
floor = 0$
$\lfloor -1.7
floor = -2$
$\lfloor -3.5
floor = -4$