Representation of a Function

A function can be represented by the following methods:A function can be represented by the following methods:

(i) An arrow diagram

R = {(1, 1), (2, 3), (4, 6)}

(ii) Cartesian graph

{(1, 1), (2, 2). (3, 3), (4, 4)}

(iii) Set-builder notation

f : {(x, y) : y = 4x + 5}

where x belongs to real numbers.

(iv) A table. The following table represents first to fifth rank holders of a class.

(vi) An algebraic formula. We can use an algebraic formula to represent a function {(x, y) : f(x) = x² + 3, x Î I}

Domain is the set of integers and range is {3, 4, 7, 12, 19, 28, 39, 52, …}

(i) {(x, y) : f(x) = x² + 3, x Î I} can also be expressed as

(ii) f(x) = x² + 3,

(iii) f(x) = x² + 3 and f :

(iv) f : x→ x² + 3  where x Î I,

(v) y = x² + 3 and