Working with functions

This topic establishes the essential language of mathematical modeling by exploring the relationship between algebraic rules and their visual representations. Students develop mastery over algebraic techniques, including index laws and surds, while learning to define, analyze, and graph various relations such as quadratics, cubics, and hyperbolas. By identifying domains, ranges, and features like intercepts and asymptotes, students gain the tools to interpret how different mathematical "machines" behave in both theoretical and practical contexts.