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Algebra 1 · Chapter 4 · Lesson 4.2 · Printable PDF

Graphing a Piecewise Function Worksheet with Answer Key

6 problems on graphing piecewise functions: end points and open or closed dots, joins and jumps, choosing a boundary, three-piece graphs, and finding a student's mistake in a drawn graph. 3 pages, with a worked answer key.

6 problems3 pagesanswer key
Printable Graphing a piecewise function worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. For each piece, give its end points and say if each dot is open or closed.
    y = 2x - 3 for x \ge 1y = 5 - x for x < -2y = -4 for x > 3y = \dfrac{1}{2}x + 2 for -4 < x \le 2y = x^2 - 3 for -1 \le x < 2
  2. Graph a two-piece function and decide if the graph joins or jumps.
  3. Find the boundary value that makes a two-piece rule join.
  4. Graph a three-piece function and answer questions about its pieces.
  5. Find every value of a for which the graph has a particular feature.
  6. Find the mistake in Mia's graph of a piecewise function.

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Graphing a piecewise function: the lesson ›

More Chapter 4 worksheets: Piecewise and absolute value functions