Home › Bihar Board Class 12 (Commerce) › Mathematics › Relations and Functions › f: N to N, f(x) = x + 1 for odd x and x - 1 for …
f: N to N, f(x) = x + 1 for odd x and x - 1 for even x, is
ABijective function
BOne-one but not onto
CNeither one-one nor onto
DOnto but not one-one
Answer & Solution
Correct answer: A. Bijective function
The map swaps 1 with 2, 3 with 4 and so on, so every natural number has exactly one preimage.
Related questions
Which two relations on a set A are called the extreme relations?If f(4) = 5 and g(5) = 11, what is gof(4)?A function that is not one-one is described by which term?How are functions related to the general idea of a relation?A relation R is transitive when (a1, a2) and (a2, a3) in R imply what?The empty relation and the universal relation are together known as what?The inverse g of an invertible f : X → Y satisfies which pair of equations?For f : N → Y with f(x) = 4x + 3 onto Y, which formula gives the inverse g(y)?