Support · Mathematics Extension 1 11–12 – Year 11 · Further work with functions
Support Define formally f^(- 1)(x) to be the inverse function of f(x) if the relationships f(f^(- 1)(x)) = x and f^(- 1)(f(x)) = x hold, and use this definition to solve problems
Resources for the prerequisite content of this dot point: earlier-stage (or earlier sub-level) dot points in the same strand that students usually need first. Use these to fill gaps before or alongside the core lesson.
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Prerequisite dot points
Define the domain of a function f as the set of real numbers on which f is defined
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.
Refer to a value in the domain of a function at which the function is 0 as a zero of the function
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.
Interpret piecewise-defined functions, where the function is defined differently in different parts of the domain
Mathematics Advanced 11–12 – Year 11 · Working with functions Draft mapping
No checked resources on this prerequisite dot point yet.