Understanding Functions and Context

This lesson explores how context influences functions by examining graphs. It begins with a review of x-intercepts, explaining their significance and common misunderstandings. The lesson then introduces a volume function derived from a cardboard box model, graphing it to find zeros and understand volume changes. Algebraic and contextual explanations are provided for why the volume is zero at certain heights. Finally, the lesson identifies positive and negative intervals of the volume function, emphasizing the importance of context in understanding functions.

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