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Lesson Plan: Inverse of a Function Mathematics • Second Year of Secondary School
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, , is ,
- recognize that if an invertible function, , maps an input, , to an output, , then maps the variable, , to ,
- 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, , by changing the subject from to .
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.
