Math PicnicEvery sheet is a promise

Is it a function?, step by step

A function gives every input exactly one output.

Practice Practice sheetNew questions
The question
x024710y315079

Is this a function?

x: 0, 24, 7, 10 y: 31, 50, 7, 9

x024710y315079
x024710y315079inputs024710
x024710y315079inputs024710
inputs 0, 24, 7, 10 — no repeat
A function
  1. A function has one rule: every input gets exactly ONE output. So there is only one column to check — the inputs, which are the top row of the table.
  2. Pull the inputs out on their own and look at them together: 0, 24, 7, 10. Nothing about the outputs matters yet.
  3. Now the check: every input appears once, so no input can go to two places.
  4. Every input has exactly one output, so this relation is a function.

How it works.

  1. 01

    A function has one rule: every input gets exactly ONE output. So there is only one column to check — the inputs, which are the top row of the table.

  2. 02

    Pull the inputs out on their own and look at them together: 0, 24, 7, 10. Nothing about the outputs matters yet.

  3. 03

    Now the check: every input appears once, so no input can go to two places.

  4. 04

    Every input has exactly one output, so this relation is a function.

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