Lesson Plan: Inverse of a Function Mathematics • 10th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the inverse of a function by changing the subject of the formula.

Objectives

Students will be able to

  • recognize the notation for the inverse function: generally the inverse of a function, 𝑓, is 𝑓,
  • recognize that if an invertible function, 𝑓, maps an input, 𝑥, to an output, 𝑦, then 𝑓 maps the variable, 𝑦, to 𝑥,
  • recognize the conditions for which a function is invertible and be able to state the domain and range of an inverse function,
  • evaluate the inverse function from a function mapping diagram, a table of values, or a graph,
  • find the inverse of an invertible function, 𝑓∶𝑥→𝑦, by changing the subject from 𝑦 to 𝑥.

Prerequisites

Students should already be familiar with

  • the definition of a function,
  • one to one functions,
  • domains and ranges of functions,
  • graphs of functions,
  • how to change the subject of a formula.

Exclusions

Students will not cover

  • trigonometric inverses,
  • exponential or logarithmic functions,
  • graphs of inverse functions.

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