Question

Hey buddys!


⭕What is a Function? Define it.


⭕What are the diff. types of Functions? express them!


Thanks!




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Answer 1

Constant function, algebric function, lineer fuction, quadratec fucntion

Answer 2

Step-by-step explanation:

Function:-

Function is a rule or correspondence from a non empty set A to a non-empty Set B , which Associates each member of A to a unique member of B.

Representation :-

$f : A \rightarrow B$

Graphically :

if any vertical line cuts the graph at more than one point then the graph does not represent a function, else it would represent a function.

Types of Functions :-

✴ one-one function :-

A function is said to be a one one function if different elements of a have different "F" images in B.

$\implies$ Also known as injective mapping.

✴Many one function :-

A function is said to be many one function if there exist at least two or more elements of A having the same F image in B.

✴ onto function :-

if the function $f : A \rightarrow B$ is such that each element in B must have at least one pre image in A.

✴ into function:-

if $f : A \rightarrow B$ such that there exist at least one element in co- domain which is not the image of any element in Domain, then f(x) is into.

✴Equal or identical function:-

$\rightarrow$ Two function f and G are said to be identical only if :-

$\implies$ The domain of f = domain of g

$\implies$ f(x) = g(x), for every X which belongs to the to their common domain.

More types of Functions :-

• Composite function
• Odd and even function
• Periodic function
• Inverse of a function
• Inverse trigonometric function