Further Functions

Further Functions explores advanced graphing techniques and the algebraic properties of non-standard relations, focusing on absolute value transformations, reciprocal functions, and square root behaviors. It emphasizes determining the domain and range of composite functions and analyzing the geometric effects of reflections, translations, and dilations. Students investigate the relationship between functions and their inverses while mastering the systematic sketching of piecewise-defined functions and the application of function notation to complex modeling problems.