End Behavior from the Leading Term
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State
A polynomial's end behavior matches the power function in its leading term: even degree matches the arms, odd degree opposes them, and the coefficient's sign points them.
Show
−2x⁴ + 7x: the leading −2x⁴ rules far out, so both arms fall — at ±10, the −20,000 drowns the 70.
Builds on
- Nothing — this is a starting point.
Unlocks
- Nothing yet depends on this.