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

Enrichment

This lesson’s brief has no Differentiation

Accommodations

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Anticipatory Set / Bell Work

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Check for Understanding

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Guided Practice

Independent Practice

Lesson plan — Read inverse from graph or table | K12worX