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Determine end behavior of polynomial and rational functions

Free printable Calculus math worksheet for "Determine end behavior of polynomial and rational functions" — practice limits at infinity. No-prep, print or assign online.

This worksheet guides students through identifying the end behavior of polynomial and rational functions by applying limits at infinity. Teachers can use it to reinforce concepts in calculus related to function behavior as variables approach large positive or negative values. It supports deep understanding of limits, asymptotic behavior, and graph interpretation in advanced high school math classes.

Math
Calculus
High School
Worksheets
Ages 14–18
hard

Learning objectives

  • Analyze the end behavior of polynomial functions by examining their leading terms.
  • Determine the end behavior of rational functions using limits at infinity.
  • Interpret the graphical implications of end behavior for both polynomial and rational functions.

How to use this worksheet

  1. Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
  2. Print at home or in class for High School; it's no-prep, with no extra materials needed.
  3. Hand it out as classwork, homework, or a quick warm-up.

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