The INVERSE of any relation is obtained by switching the coordinates in each ordered pair.
May be called the ordinates.
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
(7,-3),(-4,2),(-1,0),(2,-4)(0,-6) What is the domain and range of the set of ordered pairs? Check all that apply
Frequencies are arranged in as per the ascending/descending (ordered) intervals.
If a set of ordered pairs is not a relation, the set can still be a function.
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.
A relation is defined as a set of ordered pairs. A function is a special kind of relation ...
In general you cannot. Any set of ordered pairs can be a graph, a table, a diagram or relation. Any set of ordered pairs that is one-to-one or many-to-one can be an equation, function.
A relation is any set of ordered pairs.A function is a relation in which each first element corresponds to exactly one second element
A relation is just a set of ordered pairs. They are in no special order. Therefore there is no particular shape assigned to a relation. A function is a special kind of relation. A relation becomes a function when the x value only has one y value.
A relation is a set of ordered pairs.A function is a relation such that for each element there is one and only one second element.Example:{(1, 2), (4, 3), (6, 1), (5, 2)}This is a function because every ordered pair has a different first element.Example:{(1, 2), (5, 6), (7, 2), (1, 3)}This is a relation but not a function because when the first element is 1, the second element can be either 2 or 3.
A set of ordered pairs, can also be tables, graphs, or a mapping diagram
A relation is also a function if each member of the domain (or x-coordinate) is paired with only one member of the range (or y-coordinate). If the relation is a set of ordered pairs that consists of real numbers a graph can be created to visualize the relation. If a vertical line can be drawn and only crosses or intersects the graph at one point then the relation is also a function.
If a relation can be called a function, it means that the relation maps every element to one and only one other element. If you have some ordered pairs and see that, for example, 1 maps to 4 (1,4) and 1 also maps to 7 (1,7) , you don't have a function.
A graph that is not a function, fails the vertical line test. You can draw it by connected all ordered pair of points in a rectangular coordinate system.
A function must be well defined. This means that every element in the domain maps to only one element in the range. In more math terms, let a and b be in the domain of f such that a = b. If f is a function, then if a = b, f(a) = f(b). A relation does not need to be well defined. An example of this would be y^2 = 4. y = 2 or -2. An ordered pair that would be part of a relation but not a function would be (x, y^2) vs an ordered pair possible in a function which would be (x^2, y).