Graph polynomial functions using zeros, factorizations, and end behavior.
Determine the end behavior of a polynomial from its leading term
Problem
What is the end behavior of \(f(x)=2x^4-3x+1\)?
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What this problem is really about
For end behavior, ignore the lower-degree terms and focus on the leading term. Degree parity tells whether the two tails point in the same or opposite directions, while the leading coefficient’s sign fixes the right-hand direction. Combine those two decisions, then express each tail with limit notation.
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