Evaluate the function at the first number in the pair. If the answer is not equal to the second value, then the ordered pair cannot be in the function.
A ordered pair is one of many ways in which a function may be defined. The function maps the element in the first position of an ordered pair to the second element in that pair.
The abscissa
An ordered pair can represent either a relation or a function, depending on its properties. A relation is simply a set of ordered pairs, while a function is a specific type of relation where each input (first element of the pair) is associated with exactly one output (second element of the pair). If an ordered pair is part of a set where each input corresponds to only one output, it defines a function. Otherwise, it is just a relation.
No
Removing the ordered pair would ensure that each input (or "x" value) in the relation corresponds to exactly one output (or "y" value). A function is defined as a relation where no two ordered pairs have the same first component with different second components. Therefore, eliminating the pair that violates this condition would make the relation a valid function.
A ordered pair is one of many ways in which a function may be defined. The function maps the element in the first position of an ordered pair to the second element in that pair.
(1,2)
The abscissa
No
You can easily test any ordered pair that someone may offer you, to determinewhether the pair is part of the graph of the function [ y = 3 - x ].Simply check to see whether the sum of the two members of the ordered pair is 3.If yes, and only if yes, then the pair is part of the graph of the function.
The following is the answer.
A relation is when the domain in the ordered pair (x) is different from the domain in all other ordered pairs. The range (y) can be the same and it still be a function.
Ordered pairs are used for many things. Anytime you graph a point on a cartesian coordinate system, you have an ordered pair. In fact, all of R^2 is made up of ordered pairs. When you put a value in a function and get one out, you have an ordered pair
Removing one pair is not enough to make it a function. You need to remove one of the pairs starting with 1 as well as a pair starting with 2.
The first number in each pair must be unique.
x is a member of the function's domain, y is a member of the function's range.
No, this is not necessarily the case. A function can have an infinite range of solutions but not an infinite domain. This means that not every ordered pair would be a solution.