Absolute Value Functions and Equations Assessment Review

Functions, Domain, and RangePage 1

This section covers the analysis of absolute value functions like f(x) = |x| - 4 and g(x) = -|x + 5| + 3. Students are asked to identify domain and range using inequalities and interpret real-world distance models, such as a cyclist's travel distance relative to a reference point.

Key Attributes and TransformationsPage 1

Focuses on identifying key attributes of functions including domain, range, intercepts, axis of symmetry, and extrema. It also covers understanding geometric transformations of the parent function f(x) = |x|, such as horizontal/vertical shifts, reflections over the x-axis, and stretches.

Solving Equations and InequalitiesPage 1

Provides practice for solving algebraic absolute value equations, including scenarios with no solution, and solving absolute value inequalities requiring graphical representation on a number line.