Lesson plan

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

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: In order for a quadratic function to be invertible, the domain of the quadratic function must be restricted to a subset of the real numbers. In this lesson, students will use algebraic methods (inverse operations) to find an equation for the inverse of a quadratic function (a square root function). They will examine a table of values showing the composition of the two functions to discover that the quadratic function is only invertible when the domain is restricted. Vocabulary: domain, range, inverse, function, real numbers