Is the relation shown below a function? Explain.
Domain
5
10
15
20
Range
10
20
30
40
50
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To determine if the relation is a function, we need to check if each element in the domain is paired with exactly one element in the range.
Here, we have:
– Domain: {5, 10, 15, 20}
– Range: {10, 20, 30, 40, 50}
From the given information, we can assume that each input from the domain corresponds to a unique output from the range. If there are repeated inputs paired with different outputs, it would not be a function.
Since there are no elements in the domain repeating, we can conclude that this relation is a function. Each value in the domain maps to one value in the range.
So, yes, the relation is a function!