What is end behavior of a polynomial?

Problem Statement

What is end behavior of a polynomial?

Step-by-Step Explanation

End behavior describes how a polynomial acts as x becomes very large positive or very large negative.

1. Identify what the question is asking. In College Algebra, this usually means naming the known quantities, the unknown quantity, and the concept that connects them.
2. Write the relevant definition, rule, or relationship before substituting numbers or manipulating symbols.
3. Work one step at a time and keep units, signs, and restrictions visible.
4. Check whether the answer makes sense in the original context.

Final Answer

End behavior describes how a polynomial acts as x becomes very large positive or very large negative. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.