Common Core Math - HS Functions
Lesson Plan
Read inverse from graph or table
Goals / Objectives
Read f^-^1(b) from a table of f by finding the row where f(a) = b and reporting a
Read f^-^1(b) from a graph of f by finding the point where y = b on the graph and reading the corresponding x-value
Construct a table of f^-^1 by swapping the input and output columns of a table for f
Sketch the graph of f^-^1 by reflecting the graph of f over y = x
Determine whether the inverse function exists from the table or graph (no repeated outputs)
Interpret inverse values in context: if f(t) gives population at time t, then f^-^1(P) gives the time when population reaches P
Standards
HSF.BF.B.4.c
HSF.BF.B.4.c: (+) Read values of an inverse function from a graph or a table, given that the function has an inverse.
Academic Vocabulary
Not in our source material
Materials
Remediation
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