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.

Free printable · PDF
- 2 pages
- US Letter — choose “Fit to page” for A4
- PDF, 101 KB
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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.
Good for
- Classwork on piecewise continuity
- Homework practice for breakpoints
- Quick check before a test
Tip: Print double-sided to keep the problems and answer key together.
4 files · PDF, DOCX
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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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