Variation 1 · answer guide
Inverse function — Restricted sine is invertible
Question
If instead on , is its inverse?
This practice question was inspired by Question 13(c) in the 2022 NSW HSC Mathematics Extension 1 examination, © NESA. It is an original TestMum variation that practises the same mathematical idea, not an official NESA question.
Step by step
- State the final answer clearly in the form the question requested.Yes: is bijective onto and is the two-sided inverse.
Common mistake: changing so many features that the new example no longer tests the same mathematical idea.
Verification: Domain restriction is essential.
Any mark labels are a TestMum study aid, not an official NESA marking allocation.
← Back to 2022 HSC Extension 1 paper Question 13(c)