{(1,2), (-2,3), (1,3), (-2,2)} is what type of relation? A. one-to-many B. many-to-many C. one-to-one D. m

Question

{(1,2), (-2,3), (1,3), (-2,2)} is what type of relation?

A. one-to-many
B. many-to-many
C. one-to-one
D. many-to-one

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Lyla 2 weeks 2021-09-14T20:57:57+00:00 1 Answer 0

Answers ( )

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    2021-09-14T20:59:08+00:00

    Answer:

    B. Many-to-many

    Step-by-step explanation:

    We have the following ordered pairs:

    • (1,2)
    • (-2,3)
    • (1,3)
    • (-2,2)

    First let’s define the following concepts:

    • One-to-one: A function is said to be one-to-one if every y value has exactly one x value mapped onto it.
    • Many-to-one: If there are y values that have more than one x value mapped onto them.
    • One-to-many: If there are x values that have more than one y value mapped onto them. (NOT A FUNCTION)
    • Many-to-many: If there are x values that have more than one y value mapped onto them and at the same time, there are y values that have more than one x value mapped onto them (NOT A FUNCTION)

    From all the ordered pairs, we find that the points (1,2) and (1,3) have the same x-value for diferent y-values. Also we find that the points (1,2) and (-2, 2) have different x-values for the same y-value.

    Therefore, the ordered pairs DO NOT belong to a function and can be considered MANY-TO MANY.

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