Lesson plan

Understand restrictions on the domain and range of a quadratic function and its inverse by examining a table of values and the context of the function

teaches Common Core State Standards CCSS.Math.Content.HSF-IF.B.5 http://corestandards.org/Math/Content/HSF/IF/B/5

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Big Ideas: Quadratic relations often arise in certain real-world applications, including optimization problems (such as optimizing the area of a rectangle with a fixed perimeter). The domains and ranges of quadratic relations are often selected in order to reflect a particular modeling context. In this lesson, students will create a table of values for a quadratic area function to understand why the context of the problem places restrictions on the domain and range of the quadratic function and on its inverse. Vocabulary: square, square root, area, inverse, domain, range