Lesson plan

Find the inverse, domain, and range of a square root function by using graphs

teaches Common Core State Standards CCSS.Math.Content.HSF-BF.B.4d http://corestandards.org/Math/Content/HSF/BF/B/4/d

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Big Ideas: A quadratic function is invertible and its inverse is given by a square root function if the domain is restricted to be a subset of the real numbers. In this lesson, students will graph a quadratic function and its reflection across the line y=x to discover that the reflection coincides with the graph of a square root function if the domain of the quadratic function is restricted to the non-negative real numbers. This will lead students to discover that a square root function has a quadratic inverse if the domains of both are restricted to a subset of the real numbers. Vocabulary: domain, range, inverse, function, real numbers, reflection Special Materials: graph paper