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Algebra 2 · Chapter 4 · Lesson 4.9 · Printable PDF

Domain and Zeros of a Rational Function Worksheet with Answer Key

5 problems on domain and zeros of a rational function: writing the domain in interval notation, reading a graph with an asymptote and a hole, explaining a calculator table with errors, building a function from its domain and zero, and a parameter in the denominator. 3 pages, with a worked answer key.

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Printable Domain and zeros of a rational function worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Write the domain of each function in interval notation and find its zeros.
    \dfrac{x + 4}{x^2 - 10x + 21}\dfrac{9}{4x^2 - 25}\dfrac{x^2 - 2x - 15}{x^2 - 25}\dfrac{x^3 - 9x}{x^2 + 5x + 6}\dfrac{x + 5}{x^2 + 6x + 4}
  2. Read the domain and zeros from a graph with a vertical asymptote and a hole.
  3. Explain Jasmine's calculator table, including the ERROR entries.
  4. Find a rational function with a given domain, zero and y-value, then write another.
  5. Find the values of c for which the domain is all real numbers, then take c equal to 9.

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The free lesson teaches it with worked examples and practice problems.

Domain and zeros of a rational function: the lesson ›

More Chapter 4 worksheets: Rational expressions and rational functions