What is the range of the function represented by these ordered pairs? {(–2, 1), (0, 0), (3, –1), (–1, 7), (5, 7)}
The range is the set of y coordinates (or outputs). For any point (x,y) the y coordinate is the second number listed. For example, with (8,7) the y coordinate is 7.
So we simply list all of the y coordinates of each ordered pair. Those values are: 1, 0, -1, 7, 7
Let's order them as you would see on a number line
-1, 0, 1, 7, 7
then let's toss out the extra 7 to get
-1, 0, 1, 7
So the range is the set {-1, 0, 1, 7}
The range of the given relation is {1, 0, -1, 7}.
The set which contains all the second elements of all the ordered pair of a relation is called the range of relation.
The set which conatins all the first elements of all the ordered pairs of relation is known as the domain of the relation.
Sets are a collection of well-defined objects or elements.
According to the given question.
We have a set of ordered pairs which shows a relation between the two obects of the set.
{(-2, 1), (0,0), (3, -1), (-1, 7), (5, 7)}
We know that " the set which contains all the second elements of all ordered pairs of a relation is called range of the relation".
Therefore, the range of the given relation is {1, 0, -1, 7}.
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