Mathematics · Polynomial Functions · Topic 11 · 11 of 18
Multiplicity: Cross, Bounce and Flatten
Predict local graph behavior from repeated factors.
Odd multiplicityThe graph crosses the x-axis.
Even multiplicityThe graph touches the x-axis and bounces.
Higher multiplicityThe graph becomes flatter near the root.
Read the exponent
(x+2)¹ → cross (x−1)² → bounce (x−3)³ → cross and flatten