Answer:
The function y = ⌊x⌋ is called the "greatest integer value" function.
it works as follows: the input is any number x, the output is the greatest
integer smaller or equal to x.
For example:
⌊0.1⌋=0
⌊0.26⌋=0
⌊0.4678⌋=0
⌊0.8989⌋=0
⌊0.999⌋=0
⌊1⌋=0
⌊1.0001⌋=1
so, the value of ⌊x⌋, for the entire interval (0, 1] is 0.
Similarly,
the value of ⌊x⌋, for the entire interval (1, 2] is 1. and so on,
thus the graph of y = ⌊x⌋ is as shown in picture 1
the graph of y = ⌊x⌋ – 2 is the graph of y = ⌊x⌋ shifted 2 units down.
check picture 2.
