Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
2. Representations of Functions
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Exercise 3 Page 286

If a relation is a function, how many y-values can an x-value have?

Not a function

Practice makes perfect
For a relation to be a function, each x-value can only be paired with one y-value, but one y-value can be paired with multiple x-values. In a mapping, the x-values in the input can only point to one y-value in the output.

In the given mapping, we can see that at least one of the x-values corresponds to multiple y-values. Since not all of the values in the input only point to one value in the output, the relation is not a function.