This math topic focuses on practicing function transformations related to the domain and range of functions. The student is required to determine how shifts, stretches, compressions, and reflections applied to functions affect their domain or range. It includes identifying new domains and ranges given different transformation rules applied to a function, typically represented as algebraic expressions like \( g(x) = f(4x-2) \) or \( g(x) = -3f(x) \). This requires understanding both initial function properties and how operations on the variable \( x \) influence the domain and range of the resultant function.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
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