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College Algebra · Chapter 4

The Vertical Line Test

A function is a rule that gives each input exactly one output. That sentence is about numbers — but on a graph it turns into something you can see. Slide a vertical line across nine graphs, count where it lands, and watch the input–output picture react. Then step through why the test works at all.

Sweep the line

One input → how many outputs?

The vertical line   x =0
−606
Hits right now—
Most hits so far—
Verdict—
Pick a graph to test