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Learning Goal
‹4 of 4 in this group
Restrict domain for invertibility
Start lessonBegins with Why and how to restrict · Slides
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
HSF.BF.B.4.d
**HSF.BF.B.4.d**: (+) Produce an invertible function from a non-invertible function by restricting the domain.
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HSF.BF.B.4.d: (+) Produce an invertible function from a non-invertible function by restricting the domain.
What you'll learn
- Explain why non-one-to-one functions (those failing the horizontal line test) do not have inverses on their full domain
- Identify the symmetry or turning point that causes the horizontal line test to fail
- Restrict the domain of a non-invertible function to produce a one-to-one function that does have an inverse
- Choose domain restrictions that preserve useful portions of the function (e.g., the right half of x^2)
- Find the inverse of the restricted function and state its domain and range
- Recognize that different domain restrictions produce different inverse functions
Slides
Step through the lesson, or watch it as a narrated video • 2 slide decks
1
Why and how to restrict
✓ Start here2
Finding restricted inverses
Practice
Try it on your own
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