Answer:
The steps are at –2 from 0 to 1, at –1 from 1 to 2, and at 0 from 2 to 3.
A is correct
Step-by-step explanation:
Given: f(x)=[x]-2 on [0,3)
It is greatest integer function.
Parent function: f(x)=[x]
Graph shift 2 unit down.
f(x)=[x]-2
Now we make table
 x  :    0    0.5    1     1.5    2     2.5    <3
f(x) Â : Â Â -2 Â Â Â -2 Â Â Â -1 Â Â Â Â -1 Â Â Â Â 0 Â Â Â Â 0 Â Â Â Â Â 0
From table
f(x)=-2 Â Â Â on [0,1)
f(x)=-1 Â Â Â on [1,2)
f(x)=0 Â Â Â on [2,3)
[tex]f(x)=\left\{\begin{matrix}-2 & \text{ if }0\leq x<1\\ -1& \text{ if }1\leq x<2\\ 0& \text{ if }2\leq x<3Â \end{matrix}\right[/tex]
Hence, The steps are at –2 from 0 to 1, at –1 from 1 to 2, and at 0 from 2 to 3.
