Which describes the graph of f(x)=[x]-2 on [0, 3)? the steps are at –2 from 0 to 1, at –1 from 1 to 2, and at 0 from 2 to 3. the steps are at 0 from 0 to 1, at 1 from 1 to 2, and at 2 from 2 to 3. the steps are at 1 from 0 to 1, at 2 from 1 to 2, and at 3 from 2 to 3. the steps are at –3 from 0 to 1, at –2 from 1 to 2, and at –1 from 2 to 3.

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)  :     -2       -2       -1        -1         0         0          0

From table

f(x)=-2      on [0,1)

f(x)=-1       on [1,2)

f(x)=0       on [2,3)

Hence, The steps are at –2 from 0 to 1, at –1 from 1 to 2, and at 0 from 2 to 3.