Question

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.

Answer 1

A. just took the test and it was right

Answer 2

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

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)

`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<3 \end{matrix}\right`

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