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alfarodougoy8lvt
13.02.2020 •
Mathematics
State the domain and range of the following relation. Is the relation a function?{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}The above list of points, being a relationship between certain x's and certain y's, is a relation. The domain is all the x-values, and the range is all the y-values. To give the domain and the range, I just list the values without duplication:domain: {2, 3, 4, 6}range: {–3, –1, 3, 6}
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Ответ:
Domain of the relation:![\{2,3,4,6\}](/tpl/images/0510/4965/0045b.png)
Range of the relation:![\{-3,-1,3,6\}](/tpl/images/0510/4965/f0bea.png)
Given relation is not a function.
Step-by-step explanation:
We have been given a relation. We are asked to find the domain and range of the given relation.
Relation:![\{(2,-3),(4,6),(3,-1),(6,6),(2,3)\}](/tpl/images/0510/4965/2e83a.png)
We know that a relationship will be also a function, when each input in the domain has exactly one specific corresponding output.
We also know that for a relation to be a function, one x-value cannot have two y-values, while two x-values can have same y-value.
Upon looking at our given ordered pairs, we can see that each x-value corresponds to a specific y-value except 2. We can see that 2 corresponds to
and 3.
Therefore, our given relation is not a function.
We know that x values of ordered pairs represent domain of relationship and y values of ordered pair represent range of relationship.
Therefore, the domain of the relation would be
and range of the relation ![\{-3,-1,3,6\}](/tpl/images/0510/4965/f0bea.png)
Ответ:
50 hours
Step-by-step explanation:
Sarah:
50 x 17 = 850
Joey:
50 x 15 = 750
750 + 100 = 850