Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
6. Formalizing Relations and Functions
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Exercise 13 Page 271

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

Not a function

Practice makes perfect

Consider the given graph.

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 graph, we can check if each x-value has only one y-value by using the Vertical Line Test.

As we can see, there are x-values that have more than one corresponding y-value. Therefore, the given graph is not a function.