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PEAZIT Aha card

Functions: one output for each input

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A function rule assigns exactly one output to each allowed input.

Rule f(x) = 2x + 1: multiply by 2, then add 1.
xf(x)
01
13
25

One worked example

  1. f(3) = 2 × 3 + 1Replace x in the rule with 3.
  2. f(3) = 7Multiply before adding.

Watch out: Different inputs may share an output. A function need not be a straight line or accept every real number.

Goal, prerequisites and card origin

What you will learn: Substitute a value into a simple function rule.

What you need first: Order of operations and variables.

An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1

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A function rule assigns exactly one output to each allowed input.

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