Common Core Math - HS Functions
Lesson Plan
Restrict domain for invertibility
Goals / Objectives
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
Standards
HSF.BF.B.4.d
HSF.BF.B.4.d: (+) Produce an invertible function from a non-invertible function by restricting the domain.
Academic Vocabulary
Not in our source material
Materials
Enrichment
This lesson’s brief has no Differentiation
Accommodations
Not in our source material
Anticipatory Set / Bell Work
Modeling
Check for Understanding
This lesson’s brief has no Formative Assessment or Assessment Ideas