MATH SOLVE

4 months ago

Q:
# {(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

Accepted Solution

A:

Answer:B. Many-to-manyStep-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.