Question 51652: How do you determine the (2,2), (1,4), (3,6), (-1,2) are function, domain or range?
Answer by THANApHD(104)   (Show Source):
You can put this solution on YOUR website! In mathematics, a function is a relation, such that each element of a set (x values)(the domain) is associated with a unique element of another(y value) (possibly the same) set (the codomain, not to be confused with the range).
---definition---
So here we can obviously figure out some points
1. there can be one or more members in the set of Domain(X values), associate(make connection) to a unique value( one value) in the set of range(Y values.
2. But there can not be one value in the set X associates to two or more values in the set of Range(Y values).
For Eg:- if f(2) = 12
f(9) = 12
so f is a function, which satisfies the definition
but if f(6) = 5
f(6) = -10
is not a function.
So in your case,
(2,2), (1,4), (3,6), (-1,2)
You can find this a function as every element in the set of X associates with the unique value of Y
but if Your co-ordinates are like the following,
(2,2), (1,4), (3,6), (2,6)
See the first & last co ordinate (2,2)(2,6) , so here for the element 2 in the set of X associates with two different values of Y. so its not a funtion.
Domain- the set of the X values ,that can be satisfy the funtion.
Range- Set of Y values,that associate with the values, according to the funtion.
In your case Domain is could be all the real numbers and Range also all the real numbers
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