2: Linear and Quadratic Functions
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- 2.1: Linear Functions
- This section covers linear functions, including their definition, graphing, and interpretation. It explains the slope-intercept form y=mx+b, where m represents the slope and b the y-intercept, and demonstrates how to find and interpret these values. It also addresses real-world applications of linear functions, such as modeling and predicting trends. Examples and exercises help reinforce understanding of these key concepts.
- 2.2: Absolute Value Functions
- This section explores absolute value functions, including their definition, properties, and graphing. It explains how to interpret and solve absolute value equations and inequalities, and covers transformations such as shifts and reflections. Examples and exercises help demonstrate how to handle these functions in different contexts, reinforcing the understanding of their behavior and applications.
- 2.3: Quadratic Functions
- This section covers quadratic functions, including their standard, vertex, and factored forms. It explains how to graph parabolas, find their vertices, axes of symmetry, and intercepts. The section also discusses how to solve quadratic equations using factoring, completing the square, and the Quadratic Formula. Examples and applications help illustrate these concepts, emphasizing the importance of understanding quadratic functions in Algebra.