Question

•What is domain and co domain?
•What is image and pre image?
Plz give your answers with labelled diagram

Answer 1

Let us take a function, f(x).

The set of values that x can take is called the domain of the function f(x). This is fairly straightforward.

What is interesting is the difference between codomain and range.

Codomain is the set of values that f(x) can possibly take, whereas range is the set of values that f(x) actually takes.

This is best explained through an example. So let us take the example of the function f(x)=2x+1:- check attachment

In this example:-

Domain: {1, 2, 3, 4}
Codomain: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Range: {3, 5, 7, 9}

Note that Range is a subset of the Codomain.