alleryA function sending distinct elements to distinct images is:
AOne-one
BOnto only
CConstant
DPeriodic
Answer & Solution
Correct answer: A. One-one
1. Distinct inputs are being sent to distinct outputs.
2. No two elements of X then share an image in Y.
3. Such a function is called one-one.
_Source: syllabus Mathematics Part I, Chapter 1, Relations and Functions._
Keep practising Relations and Functions
Browse all Relations and Functions questions for CBSE Class 12 (Commerce), or explore more Mathematics topics.
Related questions
In N, R = {(x, y): y = x + 5 and x < 4} isOn {0,...,12}, with R = {(a, b): a = b}, the set of elements related to 1 isHow many different relations can be defined on a 3 element set?A relation from A to B is defined as an arbitrary subset ofOn subsets of X, 'A is a subset of B' fails to be an equivalence because it is notOn [0, pi/2], f = sin x and g = cos x. f + g takes the value 1 atWhy is x to 2x (that is, I_N + I_N) from N to N not onto?How many one-one functions map {1, 2, 3} onto itself?