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Algebra 2 · Chapter 6 · Lesson 6.6 · Printable PDF

One to One Functions and the Horizontal Line Test Worksheet with Answer Key

6 problems on one-to-one functions and the horizontal line test: judging rules and a table of temperatures, finding inputs with the same output, proving one-to-one by algebra, and using a graph with turning points. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable One to one functions and the horizontal line test worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Decide whether each rule is one to one, with a one-sentence reason.
  2. Find inputs that share an output with a quadratic and say what that shows.
  3. Prove a square root function is one to one by showing equal outputs force equal inputs.
  4. Show that x cubed plus x is one to one, and find an input for a given output.
  5. Use the graph of a cubic with two turning points to find where it is one to one.
  6. Word problem: is the temperature function on one day's six readings one to one?

Teach it first

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

One to one functions and the horizontal line test: the lesson ›

More Chapter 6 worksheets: Combined, composite and inverse functions