Class 12 · ICSE · Mathematics

Relations and Functions

Types of relations, one-one and onto functions, composition of functions, invertible functions and binary operations.

Questions

5 questions in this chapter.

Answer available
Class 12 · Mathematics · Relations and Functions
If f(x) = 2x + 3 and g(x) = (x − 3)/2, show that g is the inverse of f.
3 marksMediumNumerical
Answer available
Class 12 · Mathematics · Relations and Functions
Define a one-one function, an onto function and a bijection.
3 marksMediumShort answer
Answer available
Class 12 · Mathematics · Relations and Functions
Is the relation R = {(1, 1), (2, 2), (1, 2)} on the set {1, 2} reflexive, symmetric and transitive?
3 marksMediumNumerical
Answer available
Class 12 · Mathematics · Relations and Functions
What is a binary operation on a set? State when it is commutative and when it is associative.
3 marksMediumShort answer
Answer available
Class 12 · Mathematics · Relations and Functions
What is an equivalence relation? State the three properties it must satisfy.
3 marksMediumShort answer