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Mistake Master · AP Precalculus · Unit 1 · Step-Through Animation

The Rate Signature, Not the Silhouette

You'll learnto match a data set to the right function family by its rate signature, not its shape.

A model is a claim about how a quantity changes, not a curve that happens to pass near some dots. Every family leaves a fingerprint in the numbers: one holds a difference still, one holds the next layer still, one holds a ratio still, one holds a product still. Over a short window the shapes are impossible to tell apart. Eleven short steps; press Next for each one.

11 STEPS · 6 QUICK CHECKS · Δ SIGNATURES · SPACING RULE · ASSUMPTIONS · v3

the differences are the fingerprint; the shape is a costume
Before you start
What you're looking at
Short tables of data, subtracted, divided and multiplied until one of them stops changing.
The question
Which function family does this data belong to, and what actually settles it?
Step 1 / 11