Houghton Mifflin Harcourt Algebra 1, 2015
HM
Houghton Mifflin Harcourt Algebra 1, 2015 View details
2. Understanding Relations and Functions
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Exercise 20 Page 105

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

The relation is 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 graph, we can check if each x-value has only one y-value by subjecting it to the vertical line test.

Observing the graph, we can see that there is at least one x-value with more than one y-value. The graph fails the vertical line test, so the relation is not a function.