Codomain and Range

Answer. A function is an expression defined in Mathematics that relates one variable with the other variable or the input with the output. 

For example, f(x) = 2x+6 is an expression that relates the input and the output.

Answer. In relations and functions, two sets are defined, and the condition is satisfied. Then, the mapping is done from one set to the other set. Finally, the result is written in the form of ordered pairs, depicting the relation between the input and the output.

Answer. The Venn Diagrams are the diagrammatic representation of any function, displaying the input and output relationship. The ordered pairs are represented using the Venn Diagrams.

Answer. If a function is defined which is mapped from A to B in a Venn Diagram, then a function can be mapped from B to A, which undoes the initial function. This function is known as the inverse function. The inverse function exists only if the initial function is bijective.

Answer. Injective functions are those functions that have unique values of output for every input. It is also known as the one-one function. 

Surjective functions are those functions that can have the same output for different values of input. It is also known as the onto function. 

 A function is known as the bijective function or the bijection when it is both injective and surjective.