Explanation

(d)
Given, $f(x) = \lbrack x\rbrack,\ x \in ( - 3.5,\ 100)$
As we know greatest integer is discontinuous on integer values.
In given interval, the integer values are
$( - 3,\ - 2,\ - 1,\ 0,\ \ldots,\ 99)$
$\therefore$ Total numbers of integers are 103.