This math unit progresses through a series of skills, focusing on understanding and defining the domain and range of functions through various representations and conditions. Initially, the unit addresses basic visual and symbolic representations involving the translation of inequalities and verbal descriptions into number lines and set builder notation, utilizing unions to depict composite intervals. As students progress, they learn to convert these representations into interval notation, further solidifying their understanding of function behavior over specified domains and ranges. The unit advances into more complex scenarios where students must determine function domains involving higher polynomials, linear and quadratic expressions under square roots, and functions defined by fractional expressions over linear, quadratic, and radical denominators. The tasks require careful analysis to avoid undefined expressions and adhere to the conditions provided by each mathematical model, enhancing proficiency in translating between different mathematical representations of domains, such as number lines and algebraic conditions. The increasing complexity aids in mastering the algebraic and graphical understanding necessary to analyze functions critically within defined parameters.Skills you will learn include:
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