Functions
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A function is a relation that pairs each element in a domain with one or more elements in the range. There are three types of functions: injective functions map each domain element to a unique range element; surjective functions map each range element to at least one domain element; bijective functions are both injective and surjective, providing a one-to-one correspondence between domain and range.
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Functions
- 1. Function and different types of functions
- 2. Function Example of Function Different types of Function
- 3. A Function is a relation in which each element of the domain is paired with exactly one or more than one element of the range. Example:
- 4. There are three types of functions. 1. Injective (One to one) 2. Surjective(Onto function ) 3. Bijective/Invertible(one to one and correspondence function)
- 5. An injective function ( one-to-one function) is a function for which every element of the range of the function corresponds to exactly one element of the domain. Example: Domain Range
- 6. The function f may map one or more elements of A to the same element of B. A surjective is sometimes referred to as being “onto Function”. Example:
- 7. A function f is a one to one correspondence,or a bijective,if it is both one to one or one to (surjective and injective). Example: