-2,4
The rule for a set of ordered pairs is the statement that states the relationship of of a certain value to another value.For example:given the set of ordered pair { (1,2) , (3,4) , (5,6) , (7,8) }we notice that the value of y is increased by 1 as the value of x varies.For instance, in the first ordered pair which is (1,2) where 1 is x and 2 is y such that (x,y), 1 increased by 1. In other words, x is increased by 1.So we say that the rule of the ordered pair is:{(x,y) | y = x + 1 }read as "The set of ordered pairs such that y is equal to x plus one"
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.
Although no incomplete ordered pairs have been shown they can be readily solved.If x + y - 1 = 0, then x = 1 - y, also y = 1 - x.From the above formulae for x and y then any omissions can be completed.EXAMPLE : complete the ordered pairs (1) (7, y) and (2) (x, -4)(1) y = 1 - x = 1 - 7 = -6 : The ordered pair is thus (7, -6)(2) x = 1 - y = 1 -(-4) = 5 : The ordered pair is thus (5, -4)
y=(-1) x=(2)
The pair (2, 3) is the same as the pair (3, 2) but the ORDERED pair (2, 3) is NOT the same as the ORDERED pair (3, 2). In an ordered pair the order of the numbers does matter.
2
An ordered pair is a list of two numbers, in which the order matters. For example, (5, 2) is an ordered pair; this pair is not the same as (2, 5). For comparison, for the numbers in a set the order does not matter.
(1,2)
2 ordered pairs are needed to calculate slope.
f(2) = -2 + 12 = 10 so the ordered pair is (-2, 10).
The ordered pair IS the coordinates on the graph. If you have the ordered pair (1,2) that means the value of x is 1 and the value of y is 2, so to get to that point on a graph from the origin (center) you would move right 1 unit and up 2 units.
There are an infinite number of ordered pairs. Any point on the straight line which passes through (0,4) and has a gradient of -2 will be an ordered pair for the equation.
An example of a such ordered pair would be (2,-6). In fact, any ordered pair would work as long as the x-value is 2. Some more examples include (2,4) (2,0) (2,2) and (2,-2).
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
When the order in which they are given makes no difference.
(9,-2)