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Select either relation (if the set is a relation but not a function), function (if the set is both a relation and a function), or neither (if the set is not a relation). A = {(1, 2) (2, 2) (3, 2) (4, 2)}

relation
function
neither

2 Answers

3 votes

Answer:

B. Function.

Step-by-step explanation:

We have been given a set. We are asked to choose the correct option about the given set.

User Andrew McNamee
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5 votes

Answer:

B. Function.

Explanation:

We have been given a set. We are asked to choose the correct option about the given set.

We know that a set represents a relation, when each x value corresponds to a y-value. In a relation one x-coordinate can have more than one y-values.

We know that a set represents a function, where each x-value corresponds to exactly one y-value.

Two different value can have same y-value to be a function.

We can see that each value of x corresponds to exactly one y-value. The value of y is 2 for all value of x, therefore, all points lie on a horizontal line
y=2.

Therefore, our given set a function.

User Ginnine
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8.3k points