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IB Mathematics Analysis and Approaches Topic Functions (SL/HL) covers syllabus content. Use these Notes, Questionbank, Videos, Flashcards, and Lessons to review the topic, practise exam questions, and move between notes, videos, flashcards, and lessons where available.
SL 2.1—Equations of straight lines, parallel and perpendicular
SL 2.2—Functions, notation domain, range and inverse as reflection
SL 2.3—Graphing
SL 2.4—Key features of graphs, intersections using technology
SL 2.5—Composite functions, identity, finding inverse
SL 2.6—Quadratic function
SL 2.7—Solutions of quadratic equations and inequalities, discriminant and nature of roots
SL 2.8—Reciprocal and simple rational functions, equations of asymptotes
SL 2.9—Exponential and logarithmic functions
SL 2.10—Solving equations graphically and analytically
SL 2.11—Transformation of functions
AHL 2.12—Factor and remainder theorems, sum and product of roots
AHL 2.13—Rational functions
AHL 2.14—Odd and even functions, self-inverse, inverse and domain restriction
AHL 2.15—Solutions of inequalities
AHL 2.16—Graphing modulus equations and inequalities