Interpret key features of rational, square-root, cube-root, and other function models in context.
State model end behavior as explicit limit rows
Problem
For \(p(x)~=~2x^3~-~x\), identify the dominant term, state the limits as \(x\) approaches \(\text{positive}~\text{and}~\text{negative}~\text{infinity}\), and explain the end directions.
Big Picture
What this problem is really about
At the far ends of a polynomial, growth rate matters more than the smaller terms, so identify the highest-degree term first. Use its degree parity to decide whether the ends agree or oppose, and its leading sign to orient the right end. Then state the left and right behaviors as separate input-output limit statements.
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