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

Turns, Ends, and the Bend

You'll learnto read a polynomial's landmarks: where it crosses, where it turns, and where it changes its bend.

A polynomial graph can do three different things worth naming: meet the axis, turn around, or flip the way it bends. Two zeros force a turn between them, the degree decides whether any turn is the highest or lowest point anywhere, and the bend can flip where nothing turns at all. Eleven short steps; press Next for each one.

11 STEPS · 6 QUICK CHECKS · LOCAL vs GLOBAL · FORCED TURNS · INFLECTION · v3

local ranks a neighborhood; global ranks the whole domain
Before you start
What you're looking at
A polynomial graph with its zeros, its turning points and its inflection marked, and a legend naming each one.
The question
At each marked spot, is the graph crossing, turning, or flipping its bend?
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