SW StudyWalks

College Algebra  /  Alg 354  ·  Atom · ~20 seconds

End Behavior from the Leading Term

Video not yet published
to the StudyWalks catalog
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.