can anyone explain what question has asked or what to do in it?
Class 11th, ch-2 relation and functions
Answers
These are numbers that go hand in hand. Ordered pair numbers are represented within parentheses and separated by a comma. For example, (6, 8) is an ordered-pair number whereby the numbers 6 and 8 are the first and second elements, respectively.
What is a domain?
A domain is a set of all input or first values of a function. Input values are generally ‘x’ values of a function.
What is a range?
The range of a function is a collection of all output or second values. Output values are ‘y’ values of a function.
What is a function?
In mathematics, a function can be defined as a rule that relates every element in one set, called the domain, to exactly one element in another set, called the range. For example, y = x + 3 and y = x2 – 1 are functions because every x-value produces a different y-value.
A relation
A relation is any set of ordered-pair numbers. In other words, we can define a relation as a bunch of ordered pairs.
Types of Functions
Functions can be classified in terms of relations as follows:
Injective or one-to-one function: The injective function f: P → Q implies that there is a distinct element of Q for each element of P.
Many to one: The many to one function maps two or more P’s elements to the same element of set Q.
The Surjective or onto function: This is a function for which every element of set Q there is a pre-image in set P
Bijective function.