Mathematics A-Level
Domain and range restrictions for functions
What Domain and range restrictions for functions means in Mathematics A-Level, as defined for AQA.
Definition of Domain and range restrictions for functions
Check what you remember
Read the wording for your board, then hide it and explain Domain and range restrictions for functions in your own words. Rough notes are fine. This is a self-check, with no mark or grade.
Reference: AQA
Arcsin and arccos have domain [-1, 1], arctan has domain all real numbers, and their restricted ranges make them functions.
Topics that use Domain and range restrictions for functions
- E: Trigonometry (AQA A-Level)
Related terms
- Algebraic manipulation
- Amplitude
- Asymptote
- Derivation and manipulation of identities
- exact trigonometric values
- Graphical behaviour including asymptotes and ranges
- harmonic form
- Harmonic form (R cos(θ ± α) or R sin(θ ± α))
Using Domain and range restrictions for functions in the exam
Check the command word and mark scheme for your exact question. After comparing your explanation with the reference, use the term in an answer on the linked topic. This practice does not predict an exam mark.
Practise Mathematics questions
Create a free account to answer exam-style questions on this topic and get feedback on your answers.
Start free
All Mathematics A-Level termsA week of Premium from your first lesson · Then the free plan continues · No card, no charge