Quick Answer: What Is Ordered Pair In Math?

What is an ordered pair formula?

An ordered pair is often used to represent a point on a coordinate plane or the solution to an equation in two variables. Example: Find an ordered pair which is a solution of the equation. y=x−3, and plot the point on the coordinate plane.

How do you find an ordered pair?

Ordered pairs are often used to represent two variables. When we write (x, y) = (7, – 2), we mean x = 7 and y = – 2. The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate. Example 1.

What is an ordered pair called?

Ordered pairs are also called 2-tuples, or sequences (sometimes, lists in a computer science context) of length 2. Ordered pairs of scalars are sometimes called 2-dimensional vectors.

What is an ordered pair function?

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.

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What is the first number in an ordered pair?

Example 1: The Order in Ordered Pairs The first number of an ordered pair is called the first coordinate.

How is an ordered pair written?

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

Why is it called an ordered pair?

Why is an ordered pair called an ordered pair? Because order is important! If an ordered pair is written in a different order, it makes a different ordered pair.

Why the order of the numbers in an ordered pair is important?

The order of numbers in an ordered pair is important because the ordered pair should describe one location in the coordinate plane. The first number (called the first coordinate) describes a location using the horizontal direction.

What do you call the sets of any ordered pair numbers?

A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.

How do you find the ordered pair of a function?

Substitute the first term of the first ordered pair into the same equation in place of the variable x. For example, write, y = (-1.25 x 3) + b. Substitute the second term of the first ordered pair into the same equation in place of the variable y. For example, write, 7 = (-1.25 x 3) + b.

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How do you tell if a graph represents a function?

Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.

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