Which ordered pair can be removed so that the resulting graph represents a function?
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8
Answer:
(1, 3) can be removed so that the resulting graph represents a function. A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y.
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Step-by-step explanation:
(1, 3) can be removed so that the resulting graph represents a function.
Solution-
A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y.
Here,
X = {-5, -4, -2, 1, 2, 5}
Y = {-4, -3, -2, 1, 2, 3}
Relation from X to Y : {(-5, -3), (-4, -4), (-2, 2), (1, -2), (1, 3), (2, 1), (5, -4)}
This relation is not a function from X to Y because the element 1 in X is related to two different elements, -2 and 3
So, we have to remove either (1, -2) or (1, 3) in order to make this a function.
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