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The standard form of quadratic function : The graphical representation of this function is a curved shape that is called parabola. Qudratic function is in the form of f(x)= ax^2+bx+c here a,b,c, are numbers ,a,b,c not equal to zero. When we represent the bijective function as graphically then any horizontal line passing through any element of the range,intersect the graph of this function exactly once.
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The function f :A ->B is defined as f(1)=n f(4)=o Ie each element in B have exactly one element.Each element of B paired with exactly one element of A. If f : A->B is bijective then it both injective and surjective ,A bijective function also contain one to one correspondence. One to one and onto function (Bijective function ) Graphic representation of surjective function : Ģ.The function f: R->R is defined by f(x) =2x+1
#ONTO VS ONE TO ONE FUNCTION GRAPHS MOD#
Ie set of natural numbers =, f(x)=n mod 2 here even numbers mapped to zero and odd integers. ,in this situation concept of “set” comes in.Actually “ set is a collection of things ”. one plant grows 15 cm in every year,so the height of a plant related to it’s age using function hĪge = 10 then height is h(10)=10×15=150cmįunctions include different kind of things ie numbers,letters, etc.Sometimes function have no name ie y=x^2 But in this case have input,relationship and output.Nature of the function is unknown ,and the functions include more than two variables.Įxample : A = (b×h)÷2 define “ A “ as a function of both base (b) and height (h).įunction relates to an input to an output In this case function “ f “ takes “ x “ and square it. What is put inside the parentheses after the function name is input.
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“ x “ is a placeholder,so input is put in this x But in the case of function ,it have no moving part,so it is not destroy what we put into Function is a law or rule that define the relationship between one independent variable to another dependent variable.we can define the activity of a machine with function,because when we consider a machine that have input and output and the input is related with the output in this concept function have 3 important part,