A function f(x) is defined as f(x) = x [x] for -1 ≤ x ≤ 3 where [x] defines the greates integer function ≤ x is
(a) continous at all points in the domain of f but non-deriviable at a finite no. of points
(b)Discontinous at all points and hence non deriviable at all points in the domain of f
(c)discontinous at a finite number of points but non deriviable at all points in the domain of f
(d)Discontinous and also non deriviative at a finite number of points of f.
A function f(x) is defined as f(x) = x [x] for -1 ≤ x ≤ 3 where [x] defines the greates integer function ≤ x is
(a) continous at all points in the domain of f but non-deriviable at a finite no. of points
(b)Discontinous at all points and hence non deriviable at all points in the domain of f
(c)discontinous at a finite number of points but non deriviable at all points in the domain of f
(d)Discontinous and also non deriviative at a finite number of points of f.