Functions and relations comprehensive theory with worked examples. AA SL and HL. Includes TI Nspire guide.

Concept of function : domain, range; image. Odd and even functions. Composite functions. Identity function.

One-to-one and many‑to‑one functions.

Inverse function including domain restriction. Self-inverse functions.

Transformations of graphs: translations; stretches; reflections in the axes. The graph of the inverse function.

The rational function and its graph.

The reciprocal function is a particular case.

Graphs with asymptotes and axes intercepts with axes.

TOK discussions about Mahematics.