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Printable Continuity Worksheet

This continuity worksheet is for students working with piecewise functions. It includes a Name and Date line, then asks whether each function is continuous at the breakpoint. If it is not, students name the type of discontinuity. The page uses a two-column layout with Problem and Answer sections. Problems include functions such as x + 1 for x < 2 and 3 for x ≥ 2, x² for x < 1 and 2 for x ≥ 1, 2x for x ≠ 3 and 0 for x = 3, and other breakpoint checks.

Preview of Printable Continuity Worksheet

Free printable · PDF

  • 2 pages
  • US Letter — choose “Fit to page” for A4
  • PDF, 101 KB
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Free for personal, family and classroom use.

Need to edit it? The full pack has the editable Word file plus all 4 sheets — $5.00, one-time.

Use the first page for independent practice or classwork. Then compare responses with the answer key, which lists each problem with its continuity result, such as continuous, jump, or removable. Print as a quick worksheet, assign it for review, or use it before a test on piecewise functions.

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Tip: Print double-sided to keep the problems and answer key together.

4 files · PDF, DOCX

Get every sheet: Piecewise Functions Practice Pack

This sheet plus 3 more in one download, with the editable Word files. Printable piecewise function worksheets with answer keys (evaluating, continuity and graphing), blank coordinate grids and a reference card on notation and continuity.

$5.00 USD, one-time 4 files · about $1.25 each

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License: personal and classroom use. Teachers may print and photocopy these files for the students in their own classes, and share them in a password-protected class space (e.g. Google Classroom). Please do not resell, redistribute, or post the files on public websites. One purchase covers one teacher.

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