#### Answer

The graph of $f(x) =[|x|]$ is the one in Option B.
When $x=1.5$, the value of the function is $2$.

#### Work Step by Step

The graph of the greatest integer function $f(x)=[|x|]$ looks like a ladder with gaps on each 'step' (see page 253 of the textbook).
Thus, its graph is the one in Option B.
The graph shows that when $x=1.5$, the value of the function is $2$.