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Functions - Coggle Diagram

- - - - An into function is a type of function that establishes a binary relation between two sets such that every element of the first set (domain) will be associated with exactly one element of the second set (codomain) and at least one element of the codomain will not be associated with any element in the domain.
    - - A function f: A -> B is called an onto function if the range of f is B. In other words, if each b ∈ B there exists at least one a ∈ A such that.
        f(a) = b, then f is an on-to function. An onto function is also called surjective function.
  - - - A function f is said to be an odd function if -f(x) = f(-x), for all value of x. In Mathematics, the functions even and odd are those that satisfy specific symmetry relations, with respect to considering additive inverses. They are fundamental in the analysis of mathematics, power and the Fourier series.
    - - Consider a function f(x), where x is a real number. Here, the function f(x) is called an even function when we substitute -x in the place of x and get the expression the same as the original function. That means, the function f(x) is called an even function if f(-x) = x for all real values of x.