Which graph shows a set of ordered pairs that represents a function? On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3). On a coordinate plane, solid circles appear at the following points: (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1). Mark this and return

Question

03-09-2019
Mathematics

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Which graph shows a set of ordered pairs that represents a function? On a coordinate plane, solid circles appear at the following points: (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3). On a coordinate plane, solid circles appear at the following points: (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1). On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1). Mark this and return

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JeanaShupp JeanaShupp · Answer 1 · 2019-10-14T09:30:13+02:00

Answer: On a coordinate plane, solid circles appear at the following points: (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3)

Step-by-step explanation:

A relation is said to be a function if each input value(x-value) corresponds to a unique output value (y-value).

Let's check all the points on each graph.

I) (negative 5, 4), (negative 3, 2), (negative 1, 3), (1, 1), (1, negative 2), (3, negative 3).

Here, 1 is corresponds to two output values 1 and 2.

⇒ It is not representing a function.

II) (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3)

Here, each input value is corresponds to a uniques out put value.

⇒ It is representing a function.

III) (negative 4, 2), (negative 1, 4), (1, 0), (2, 3), (2, negative 3), (3, 1).

Here, 2 is corresponds to two output values 3 and -3.

⇒ It is not representing a function.

IV) (negative 4, 2), (negative 3, negative 4), (negative 3, 4), (negative 2, 1), (2, negative 3), (3, negative 1).

Here, -3 is corresponds to two output values -4 and 4.

⇒ It is not representing a function.

Hence, the graph shows a set of ordered pairs that represents a function : On a coordinate plane, solid circles appear at the following points: (negative 5, negative 2), (negative 4, negative 4), (negative 3, 4), (negative 2, 2), (2, negative 2), (4, 3).

MrRoyal MrRoyal · Answer 2 · 2021-09-21T18:52:08+02:00

An ordered pair is the coordinate point of a relation.

The ordered pair that represents a function is: (-5, -2), (-4, -4), (-3, 4), (-2, 2), (2, -2), (4, 3)

For an ordered pair to be a function, either of the following must be true:

Each x-value have exactly one corresponding y-value i.e. one-to-one
More than one x-values have the same corresponding y-values i.e. many-to-one

If any of the following conditions is true, then the ordered pair is not a function

One x-value have multiple corresponding y-values i.e. one-to-many
More than one x-values have the multiple corresponding y-values i.e. many-to-many

Of the given options, only ordered pair (-5, -2), (-4, -4), (-3, 4), (-2, 2), (2, -2), (4, 3) satisfies the condition to be a function

This is so because none of its x-values have multiple corresponding y-values.

Other ordered pairs are either one-to-many or many-to-many.