IB Mathematics Analysis and Approaches Functions Notes

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