Function


   
 
Representation of a Function
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
 
 
     
   
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