What does an ordered pair represent?

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.

What does an ordered pair represent on a graph?

An ordered pair or coordinate is simply a set of numbers that define the location of a point on a coordinate grid. For example, if we had (4, 2) our point would be 4 units to the right and 2 units above the origin.

How do you tell if an ordered pair represents a function?

Video quote: So turbine whether a graph represents a function we pass a vertical line across the graph if a vertical line ever intersects the graph in more than one point.

What is an ordered pair example?

An ordered pair is a pair formed by two elements that are separated by a comma and written inside the parantheses. For example, (x, y) represents an ordered pair, where ‘x’ is called the first element and ‘y’ is called the second element of the ordered pair.

What is the ordered pair 0 0 also known as?

Explanation: The point given by (0,0) is called the origin. If a graph passes through the origin then the x-intercept and the y-intercept are at the same point and are therefore equal.

How do you read ordered pairs?

Video quote: So first thing we need to remember is that our ordered pairs are always XY they're always alphabetical ok so my first ordered pair is 2 4.

What comes first in an ordered pair?

The x-coordinate

The order in which you write x- and y-coordinates in an ordered pair is very important. The x-coordinate always comes first, followed by the y-coordinate. As you can see in the coordinate grid below, the ordered pairs (3,4) and (4,3) are two different points!

Which ordered pair represents the origin?

(0, 0)

The ordered pair for the origin is (0, 0). The x-coordinate tells how many units from the origin the point is on the x-axis. It is the first number in the ordered pair. The y-coordinate tells how many units from the origin the point is on the y-axis.

Which set of ordered pairs represents a 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. What is the catch? There can be at most one output for every input.

Is the set of ordered pairs a function Why or why not?

The first set of ordered pairs is a function, because no two ordered pairs have the same first coordinates with different second coordinates. The second example is not a function, because it contains the ordered pairs (1,2) and (1,5). These have the same first coordinate and different second coordinates.

Which equation represents function?

The notation y=f(x) defines a function named f. This is read as “y is a function of x.” The letter x represents the input value, or independent variable. The letter y, or f(x), represents the output value, or dependent variable.

Which set of ordered pairs represents the inverse of the function?

The inverse of a function is the set of ordered pairs obtained by interchanging the first and second elements of each pair in the original function. In plain English, finding an inverse is simply the swapping of the x and y coordinates.

Which of the following is an ordered pair?

Answer: An ordered pair is a pair of numbers in a specific order. For example, (1, 2) and (- 4, 12) are ordered pairs. The order of the two numbers is important: (1, 2) is not equivalent to (2, 1) — (1, 2)≠(2, 1).

What do we call the set of all second elements in ordered pairs?

The set of all first elements of the ordered pairs is called the domain of the relation, and the set of all second elements is called the range. A function is a relation or rule of correspondence between two elements domain and range such that each element in the domain corresponds to exactly one element in the range.

What type of relation has no two different ordered pairs with the same first element?

function

—A function is a relation for which no two ordered pairs have the same first element.

How is relation represented?

A relation is represented either by Roster method or by Set-builder method. Consider an example of two sets A = {9, 16, 25} and B = {5, 4, 3, -3, -4, -5}. The relation is that the elements of A are the square of the elements of B. In set-builder form, R = {(x, y): x is the square of y, x ∈ A and y ∈ B}.

What do you call a relation by which no to ordered pairs have the same first coordinates?

A function is defined as a relation in which each member of the domain is matched to exactly one member of the range. In other words, no two ordered pairs can have the same first coordinate and different second coordinate.

What is the meaning of the first element in an ordered pair how about the second?

The first element of an ordered pair is called its abscissa. The second element of an ordered pair is called its ordinate. Thus, for example, the abscissa of (4, 2) is 4, while the ordinate of (4, 2) is 2.

What does it mean for an ordered pair a B to equal an ordered pair c/d )?

Two ordered pairs are equal if and only if the corresponding first components are equal and corresponding second components are equal. For example: Two ordered pairs (a, b) and (c, d) are equal if a = c and b = d, i.e., (a, b) = (c, d).

What is the ordered pair for B?

Video quote: Basically we are claiming that an ordered pair a b is simply a class of two classes the class only containing the first member of our ordered pair.

What is an ordered pair Class 11?

An ordered pair is a combination of the x coordinate and the y coordinate, having two values written in a fixed order within parentheses.