What Makes a FunctionOne input, one output — and the two tests that check it.8th GradeA relation is a function when every input hasexactly one output. Inputs may not repeat withdifferent outputs.f(x) — one x in, one y out{(1,2), (2,4), (3,6)}functionEvery input appears once.{(1,2), (1,5)}not a functionThe input 1 has two different outputs.Vertical line teston a graphIf a vertical line hits twice, it is not a function.{(1,2), (3,2)}functionOutputs may repeat. Inputs may not.THE COMMON MISTAKE✗ repeated y values break it✓ repeated x values with different y break itOutputs can repeat freely. y = 5 is a perfectly good function.f(x) is not f times x. It means the output of f when the input is x.What Makes a Functionwww.littleactivity.com

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Math · 8th Grade

What Makes a Function

One input, one output — and the two tests that check it.

How to use it

Ask whether any input appears twice with different outputs. That is the only disqualifier.

Free · print-ready PDF · US Letter and A4

Grade
8th Grade
Ages
13–14
Subject
Math
Pages
1

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