What is a function in math with ordered pairs?

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function. The inputs that make “sense” form the domain of the function, and the answers or outputs form the range .

How do you know if an ordered pair is a solution to an equation?

To determine if an ordered pair is a solution to a system of two equations, we substitute the values of the variables into each equation. If the ordered pair makes both equations true, it is a solution to the system.

How do you solve a relation and a function?

How to Determine if a Relation is a Function?

1. Examine the x or input values.
2. Examine also the y or output values.
3. If all the input values are different, then the relation becomes a function, and if the values are repeated, the relation is not a function.

What is an ordered pair solution?

Ordered pairs (x,y) that work in both equations are called solutions to the system of equations. They represent the intersection points of the two lines. Thus a system has one solution, no solutions, or infinitely many solutions.

How do you list ordered pairs?

An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.

What makes an ordered pair a solution?

To figure out if an ordered pair is a solution to an equation, you could perform a test. Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.