Relations and Functions — Class 11 Mathematics
Mathematics · Chapter 2
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Chapter summary
This chapter links pairs of objects from two sets. The Cartesian product
Cartesian product of setsOrdered pairs and equalityRelations: domain, range, codomainFunctions as special relationsIdentity, constant and polynomial functionsModulus, signum and greatest integer functionsAlgebra of real functions
Key ideas & terms
- Ordered pair
- A pair
in which order matters; iff . - Cartesian product
, with . - Relation
- A subset of
describing a link between elements of and . - Function
- A relation in which each element of the domain has one and only one image.
- Domain, range, codomain
- Set of first elements (domain), set of second elements (range), and the whole set
(codomain). - Modulus function
, equal to for and for .
Extra questions & answers
If
It has
Define a function from set
A function
Give the number of relations from
Since
Find the domain and range of
For the root to be real,
Describe the signum function and its range.
The signum function gives
Write the greatest integer function and the values of
If
Equating components,
Is
No.
For
By pointwise multiplication,
Define a real function and a real valued function.
A real valued function has