Class XII Let A be the set of all 50 students of Class X in a school. Let f : A → N be function defined by f (x) = roll number of the student, f is one – one and onto one – one but not onto Onto many-one onto If R is the set of real numbers, Let f : R → R be defined as f (x) = 3x, then f is one – one onto one – one but not onto many – one onto neither one – one nor onto R = {(1, 1), (2, 2), (1, 2), (2, 1), (2, 3)} be a relation on A, then R is -------------------------------------------------------------------------------- Reflexive anti symmetric symmetric not antisymmetric If R is the set of real numbers, a function f:R→R defined asf (x) = x2 , then f is f is many – one onto f is neither one – one nor onto f is many one – one and onto f is one – one but not onto A function f : X → Y f : X → Y is defined to be one – one (or injective), if the images of distinct elements of X under f are identical the images of distinct elements of X under f are not distinct the images of distinct elements of X under f are not defined the images of distinct elements of X under f are distinct Do you really want to submit this quiz? Cancel Submit Quiz