Which statement correctly distinguishes the range and co-domain of a real function ?
MATHEMATICS · Single correct · CBSE · Mathematics · Relations and Functions · Relations and Functions
Problem
Which statement correctly distinguishes the range and co-domain of a real function f:A→B?
(a) Co-domain is the pre-assigned set B, while range is the subset of B consisting of actual images of elements of A.
(b) Range and co-domain are identical sets for every function.
(c) Range equals co-domain for injective functions, but may differ otherwise.
(d) Range is the entire set of possible outputs as per rule of the function, while co-domain is the subset actually attained.