Problem 116 of 7
Compare rational and polynomial behavior for f(x)=x^2 and g(x)=(x^2+2x+1)/x.
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distinguish asymptotic versus unbounded polynomial trends.
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Distinguish asymptotic rational trends from unbounded polynomial trends.
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Solution
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1. Identify polynomial end behavior.
2. Identify rational asymptotes or restrictions.
3. Compare short-term and long-term behavior.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Relying only on one short-term value.