Revision - Relations, Functions, Inverse Trig

Grade 12 Maths Higher — Revision - Relations, Functions, Inverse Trig: 25 practice questions with instant scoring and explanations.

1. Equivalence relation properties:
2. Functions bijective definition:
3. Inverse function f⁻¹:
4. Inverse trig domain/range:
5. Composition (f∘g)(x):
6. Binary operation properties:
7. sin⁻¹(sin(x)) = x only if:
8. tan⁻¹(x) + tan⁻¹(y):
9. sin⁻¹(x) + cos⁻¹(x):
10. Relation vs function:
11. Continuity at point a:
12. Differentiability requirement:
13. Derivative chain rule:
14. Implicit differentiation dy/dx:
15. Parametric curve differentiation:
16. Higher derivatives:
17. Mean Value Theorem:
18. Rolle's Theorem:
19. Taylor series:
20. Extrema tests:
21. Optimization:
22. Integration by parts:
23. Fundamental Theorem Calculus:
24. Substitution u-substitution:
25. Review question for Revision - Relations, Functions, Inverse Trig