Function Notation for Rules (Lesson Part 2): From Expressions to Graphs

① This example demonstrates how to use function notation to describe a rule precisely and connect that rule to its graphical meaning. ② The key math ideas include function notation (e.g., f(x)), translating verbal rules into algebraic expressions, and interpreting function graphs. It can also connect to basic logic-style condition descriptions and linear regression modeling intuition when the rule represents a fitted or prescribed linear relationship. ③ Construction focuses on presenting the instructional content directly on the GeoGebra canvas: the provided construct summary indicates using objects text1 and text2 to display rule descriptions, labels, or prompts that guide the student from “rule statement” to “function representation.” ④ Suitable for upper secondary school through early college, especially for teaching function representation, graphing, and rule-to-expression translation in an interactive classroom setting.