Which statement about this mapping is true? The mapping represents y as a function of x, because each y-value is related to exactly one x-value.

The mapping does not represent y as a function of x, because there are more x-values than related y-values.

The mapping represents y as a function of x, because each x-value is related to exactly one y-value.

The mapping does not represent y as a function of x, because 3 x-values are related to 1 y-value.

The mapping represents y as a function of x, because each x-value is related to exactly one y-value.

A mapping can be considered to be a function if any of the following conditions met:

Condition : Mapping denotes the relation from Set A to Set B. Relation from A to B is the subsets AB. Mapping the oval on the left-hand side denotes the values of Domain and the oval on the right-hand side denotes the values of Range.

Now looking at the mapping given, every x-value you see there is mapped to exactly just 1 y-value. No x-value is mapped to more than 1 y-value.

However, 3 different x-values, -3, 0, and 8, have the same y-values, 4. This also fulfills the condition for a mapping to be regarded as a function, as a y-value of a function can have more than 1 possible x-value mapped to it.

Therefore the mapping represent y as a function of x.

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c. The mapping represents y as a function of x, because each x-value is related to exactly one y-value.

Step-by-step explanation:

A mapping can be considered to be a function if any of the following conditions met:

1. Every x-value has exactly only 1 possible y-value mapped to it.

2. Two or more x-values can be mapped to the same y-value provided each x-value is not having more than 1 y-value. That is, provided condition 1 is maintained.

Now looking at the mapping given, every x-value you see there is mapped to exactly just 1 y-value. No x-value is mapped to more than 1 y-value.

However, 3 different x-values, -3, 0, and 8, have the same y-values, 4. This also fulfills the condition for a mapping to be regarded as a function, as a y-value of a function can have more than 1 possible x-value mapped to it.

Therefore the mapping represents y as a function of x.