How to find the end behavior of a polynomial function?
Understand the Problem
The question is asking how to analyze the end behavior of polynomial functions, which involves determining the direction in which the function approaches as the input values (x) become very large or very small.
Answer
Look at the leading term's degree and coefficient.
The final answer will depend on the leading term's degree and coefficient.
Answer for screen readers
The final answer will depend on the leading term's degree and coefficient.
More Information
The end behavior of a polynomial is primarily determined by its leading term since it dominates the growth as x approaches large positive or negative values.
Tips
A common mistake is to not focus on the leading term and get influenced by other terms with lower degrees.
Sources
- Varsity Tutors - End Behavior of a Function - varsitytutors.com
- Study.com - Determine the End Behavior of the Graph of a Polynomial Function - study.com
- Saylor Academy - Identifying End Behavior of Polynomial Functions - learn.saylor.org
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