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3 years ago

The table shows sets of ordered pairs that form a relation.

Mathematics

1 answer:

tiny-mole [99]3 years ago

4 0

A relation is a relationship between sets of values. In math, the relation is between the x-values and y-values of ordered pairs. The set of all x-values is called the domain of the relation, and the set of all y-values is called the range of the relation.

A relation from a set X (domain) to a set Y (range) is called a function if each element of X is related to exactly one element in Y.

A. A relation {(2,-3), (3,-3), (1,4), (9,2)} is a function, because each x has exactly one element y related to.

B. A relation {(8,-3), (3,8), (9,4), (-2,2)} is a function, because each x has exactly one element y related to.

C. A relation {(1,-1), (4,8), (9,-1), (3,2)} is a function, because each x has exactly one element y related to.

D. A relation {(1,-1), (-1,5), (1,-6), (-3,2)} is not a function, because x=1 has two possible outcomes y: y=-1 or y=-6.

Answer: A, B and C are functions and D is not a function

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PLEASE HELP IM VERY STUCK!<br>Which relation is also a function? <br>

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<h3>Answer: Choice B</h3>

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Explanation:

Let's go through the answer choices to see which relation is a function or not.

A) We don't have a function because x = 10 repeats itself. We see that x = 10 leads to y = 5 and y = 15 at the same time. We cannot have an x input lead to multiple outputs.
B) The list of x coordinates of the points is: 8, 4, 12, 16, 20. None of the x values repeat, so we have a function. Choice B is the answer. If you plot the four points on the same xy grid, then you'll see the graph passes the vertical line test. Any given input x leads to exactly one output y.
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