functions

functions

1. definition

   • its a relation or correspondence between two or more groups if different like domain and range

2. clasification

   • are clasified in diferent types of functions
     • base on set of elements
       • one one functions
         • n is defined by f: A → B such that every element of set A is connected to a distinct element in set B.
       • many one functions
         • its caracterized by more than one element of the set A are connected to the same element in the set B
       • onto functions
         • in the function of onto n every co-domain element is related to the domain element
       • one one- onto functions (bijective)
         • A function that is both a one one and onto function is called a bijective function
       • into functions
         • been diferent as the onto function the into function in the co-domain that do not have any pre-image
       • constant functions
         • the constant function is an important form of a many to one function
     • base on a equation
       • linear function
         • The polynomial function of degree one is called a Linear Function
       • quadratic function
         • The polynomial function of degree two is called a Quadratic Function
       • cubic function
         • The polynomial function of degree three is a Cubic Function.
       • polynomial function
         • The polynomial function of degree zero is called a Constant Function
       • identify function
         • the main characteristic different is that The identity function has the same domain and range
     • base on the range
       • modulus function
         • The modulus function is represented as f(x) = |x|. The input value of 'x' can be a positive or a negative expression
       • rational function
         • the is composed of two functions and expressed in the form of a fraction is a rational function.
       • signum function
         • helps us to know the sign of the function and does not give the numeric value or any other values for the range
       • even function
         • The even and odd functions are based on the relationship between the input and the output values of the function
       • periodic function
         • The function is considered a periodic function if the same range appears for different domain values and in a sequential manner
       • inverse funcion
         • For inverse of a function the domain and range of the given function is reverted as the range and domain of the inverse function
       • Greatest Integer Function
         • n. The greatest integer function rounds up the number to the nearest integer less than or equal to the given number
       • Composite Function
         • The composite functions are of the form of gof(x), fog(x), h(g(f(x)))
     • based on the domain
       • algebraic function
         • An algebraic function is helpful to define the various operations of algebra
       • trigonometric function
         • also have a domain and range similar to any other functions
       • logaritmic function
         • The logarithmic function gives the number of exponential times to which the base has raised to obtain the value of x

3. ben diagram

   • venn diagram
   • graphic fom
   • roster form (parejas ordenadas)