Introduction
Let us study about one to one function graph in mathematics. Functions have the not different component in first and not same component in second place. One to one function means that all the elements of a particular function have at least one element on to another function. One to one function is a function, in this function of A’s elements should have one element into function B.
One to One Function Graph:
A function P should have one element in function Q. but the function P should not have more than one element in function Q. And also function P’s all elements must have one element in function Q. It is also said as a function P should produce the corresponding image in function Q at once.
For example:
Consider p1 and p2 any elements of P.
If suppose p1 is not equal topa2. Then the function f(p1) is also not equal to f(p2).
If suppose p1 is equal to p2. Then the function f(p1) is also equal to f(p2).
Algebra is widely used in day to day activities watch out for my forthcoming posts on example of an algebraic expression and math problem solver algebra 2. I am sure they will be helpful.
Example Problems for One to One Function Graph:
Example 1:Check whether the following function defined by f = {(2 , 5),(8 , 5),(4 , 2),(5 , 9),(9 , 8)} is a one to one function?
Solution:
The given function can be drawn as in below figure:
From the figure we can note that 2 and 8 have the same output.
Therefore the given function f is not a one to one function
Example 2: Find the following function is one to one function or not. f(x) =x^3
Solution:
Given f(x) =x^3
Apply the x= -10 to 10. Draw the graph.
The given function produces that each x value has one unique y value. Therefore this given function is one to one function.
Example 3: Find the following function is one to one function or not. g(x) = | x-2|
Solution:
Given g(x) = | x-2|
Apply the values x= -10 to 10. Draw the graph.
From the above graph we can see that the given function is not a one to one function because 4 and 2 has the same element in function y.
Therefore the given function is not one to one function.
Let us study about one to one function graph in mathematics. Functions have the not different component in first and not same component in second place. One to one function means that all the elements of a particular function have at least one element on to another function. One to one function is a function, in this function of A’s elements should have one element into function B.
One to One Function Graph:
A function P should have one element in function Q. but the function P should not have more than one element in function Q. And also function P’s all elements must have one element in function Q. It is also said as a function P should produce the corresponding image in function Q at once.
For example:
Consider p1 and p2 any elements of P.
If suppose p1 is not equal topa2. Then the function f(p1) is also not equal to f(p2).
If suppose p1 is equal to p2. Then the function f(p1) is also equal to f(p2).
Algebra is widely used in day to day activities watch out for my forthcoming posts on example of an algebraic expression and math problem solver algebra 2. I am sure they will be helpful.
Example Problems for One to One Function Graph:
Example 1:Check whether the following function defined by f = {(2 , 5),(8 , 5),(4 , 2),(5 , 9),(9 , 8)} is a one to one function?
Solution:
The given function can be drawn as in below figure:
From the figure we can note that 2 and 8 have the same output.
Therefore the given function f is not a one to one function
Example 2: Find the following function is one to one function or not. f(x) =x^3
Solution:
Given f(x) =x^3
Apply the x= -10 to 10. Draw the graph.
The given function produces that each x value has one unique y value. Therefore this given function is one to one function.
Example 3: Find the following function is one to one function or not. g(x) = | x-2|
Solution:
Given g(x) = | x-2|
Apply the values x= -10 to 10. Draw the graph.
From the above graph we can see that the given function is not a one to one function because 4 and 2 has the same element in function y.
Therefore the given function is not one to one function.
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