In Pre-Calculus 11 Chapter 5, students explore the core characteristics of absolute value functions and their transformations. This unit focuses on the algebraic and graphical representations of absolute value, requiring students to convert these functions into piecewise definitions. Key learning outcomes include solving absolute value equations—both linear and quadratic—and identifying invariant points. Furthermore, the BC curriculum introduces reciprocal functions ($y = \frac{1}{f(x)}$), where students analyze the relationship between a primary function and its reciprocal, specifically focusing on vertical asymptotes and the behavior of the graph near non-permissible values. These concepts are foundational for understanding the function transformations required in higher-level calculus.