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Learning Goal

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Read inverse from graph or table

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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.

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HSF.BF.B.4.c: (+) Read values of an inverse function from a graph or a table, given that the function has an inverse.

What you'll learn

  1. Read f^-^1(b) from a table of f by finding the row where f(a) = b and reporting a
  2. 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
  3. Construct a table of f^-^1 by swapping the input and output columns of a table for f
  4. Sketch the graph of f^-^1 by reflecting the graph of f over y = x
  5. Determine whether the inverse function exists from the table or graph (no repeated outputs)
  6. Interpret inverse values in context: if f(t) gives population at time t, then f^-^1(P) gives the time when population reaches P

Slides

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1

Inverse from tables and graphs

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2

Inverse graph and context

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Practice

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