I don't understand the logic behind standard equation or Expressions for various Functions.(adsbygoogle = window.adsbygoogle || []).push({});

For example:

Constant Function:

so from this pic you can represent constant function is f(x) = y ..when every x value gives the same y value (7 in the above case)

constant function is written as

F(x) = y

where y is constant (it will be 7 if you go by the image image above) because every value of f(x) maps to same value in f(y)

This is Understandable.

BUT

Lets say its an Onto Function or Surjective function

if function is from X to Y then every element of Y must have some pre image in A and no element in Y should be left alone

Its equation is f(x) = y .... HOW ????

Lets take One One Function or injective function

If function is from X to Y then different elements in X have different images in Y.

Its expression is f(x) = f(y) HOW ????

[URL]http://upload.wikimedia.org/wikipedia/commons/a/a5/Bijection.svg[/URL]

Many One function:

(function from X to Y) If two or more different elements in X have the same image in Y

its equation or it is represented through f(x) = f(y) How ??

If the equations are wrong then please correct it

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# Equations for Various Functions ?

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