help i dont understand this

Step-by-step explanation:
you substitute the given values in s-row for s in the function, then calculate the results and fill the blanks in f(s)-row
s=0 --> f(s) = |0-2| / (0-2) = -1
s=1 --> f(s) = -1
s=9/2 --> f(s) = 1
s=11/2 --> f(s) = 1
s=6 --> f(s) = 1
In fact, there's a more shorter way to do this
You see that:
|x-2| = x-2 when x≥2
|x-2| = -(x-2) when x<2
Therefore:
f(s) = 1 for all x≥2
f(s) = -1 for all x<2