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Rational functions: asymptotes and excluded values

Free printable Precalculus math worksheet for "Rational functions: asymptotes and excluded values" — practice rational functions. No-prep, print or assign online.

This worksheet focuses on challenging problems involving asymptotes and excluded values in rational functions, designed for advanced high school precalculus students. Teachers can use it to reinforce students' understanding of domain restrictions and asymptotic behavior, supporting mastery of key concepts in rational function analysis. The exercises promote critical thinking and prepare students for higher-level math coursework.

Math
Fractions, Decimals, Ratios & Percents
High School
Worksheets
Ages 14–18
hard

Learning objectives

  • Identify vertical, horizontal, and oblique asymptotes of rational functions accurately.
  • Determine excluded values by finding the domain restrictions of rational functions.
  • Analyze and interpret the behavior of rational functions near their asymptotes.

How to use this worksheet

  1. Click “Download Worksheet” to get the PDF — free with a KiwiBee account (up to 25 downloads a month).
  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.

Frequently asked questions

Is the “Rational functions: asymptotes and excluded values” worksheet free?

Yes. “Rational functions: asymptotes and excluded values” is a free printable Math worksheet. Sign in with a free KiwiBee account to download the PDF — it includes up to 25 downloads a month.

What grade or age is this Math worksheet for?

It's designed for High School (ages 14–18), covering Rational functions.

Do I need to prep anything?

No. It's a no-prep, print-and-go worksheet — just download and hand it out.

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