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VINOD A V,

PGT Mathematics,

Jawahar Navodaya Vidyalaya,

Thrissur-KERALA

Email:avvinodpgt@gmail.com,

Ph:9446550369

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Relations & Functions

Functions:

Function as a set of ordered pairs.

 

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Function as a correspondence

 

 

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  • Constant function.

 

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  • Identity function

 

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  • Modulus function

 

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  • Greatest Integer Function

 

 

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  • Signum Function

 

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  • Exponential Function

 

 

 

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  • Logarithmic Function

 

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  • Even and Odd Functions

 

 

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  • Equality of Functions

 

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KINDS OF FUNCTIONS

  • One-One Function(Injection)

 

 

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  • Many-one Function

 

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  • Onto Function (Surjection)

 

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  • Into Function:

 

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  • BIJECTION

 

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Composition of Functions

 

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x

f(x)

g(f(x))

f(x)

g(f(x))

 

 

out

in

Click

Composition of Functions

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Solution.

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Proof

 

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Proof

 

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