IB Math AA SL 2.2 - Functions

This IB Math AA SL 2.2 – Functions resource introduces the fundamental idea of a function as a rule that maps each input in the domain to exactly one output in the range, using clear real-life analogies to build intuition before formal notation. Students develop fluency with function notation, evaluating functions, and identifying domain and range from algebraic rules and graphs, with attention to restrictions such as square roots and division by zero .

The lesson then extends to inverse functions, describing them informally as processes that “undo” a function and showing graphically how inverses are reflections across the line (y = x). Students learn that inverses require one-to-one functions and practise determining domains, ranges, and inverse expressions algebraically and graphically through structured examples and exam-style problems .

With clear modelling language, visual reasoning, and scaffolded practice, this resource supports strong SL-level understanding of functions, domains, ranges, and inverses as foundations for later algebraic and graphical work in IB Mathematics.