HSC Extension One Maths Inverse Functions Exam

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Important: These tests take time to write, if you’re in a position consider buying me a coffee so I can keep doing this in the long term.

Inverse functions_page-0001.jpg
Multiple-choice math question with four options about the inverse relation of a given function, displayed on a white background.
Mathematics worksheet with multiple-choice questions about inverse functions, showing graphs labeled A through D.
Mathematics exam paper with various function questions, including graph analysis and inverse functions, and a graph of a function with a rapid increase.
A document displaying solutions to math problems, including explanations of inverse functions, parabola regions, and algebraic equations.
A page of mathematical text with equations and explanations about functions, inverse functions, and relations.
Math worksheet with a graph of a curve and written explanation about reflecting a function over the line y = x.
A page of mathematical equations and explanations related to functions and calculus, with text including algebraic and radical expressions, and highly technical notation.

Below is a skills checklist I wrote based on the syllabus, if you can do everything listed below you should be in a good position for both your school’s inverse functions topic test and the inverse functions questions in the HSC.

  • Understand which functions can have an inverse and know the horizontal line test

  • Recognise that a function’s inverse is its reflection over the line y=x

  • Determine the inverse of a given function

  • Graph a function’s inverse

  • Restrict the domain of a function such that it has an inverse