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Algebra 2 · Chapter 4 · Lesson 4.12 · Printable PDF

Graphing Rational Functions Worksheet with Answer Key

6 problems on graphing rational functions: signs on each interval, holes, vertical and horizontal asymptotes, intercepts, a slant line from long division, finding the constant from a point, matching graphs, and reading a drawn graph. 3 pages, with a worked answer key.

6 problems3 pagesanswer key
Printable Graphing rational functions worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Give the sign of each function on each interval and name any hole.
    \dfrac{(x + 3)(x - 1)^2}{x(x - 4)}\dfrac{2 - x}{(x + 1)^2}\dfrac{3x^2 + 6x}{4 - x^2}
  2. Factor and give the domain, holes, vertical and horizontal asymptotes and intercepts.
  3. Find the vertical asymptote and the line the graph follows far out, using long division.
  4. Find the constant c from the origin point and write the function as a single fraction.
  5. Match graphs A, B and C to their rules using the asymptotes and holes.
  6. Factor the function whose graph is drawn and describe its features.

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Graphing rational functions: the lesson ›

More Chapter 4 worksheets: Rational expressions and rational functions