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Algebra II Inverse Functions

Virginia Department of Education 2018 1 Mathematics Instructional Plan Algebra II Inverse Functions Strand: Functions Topic: Exploring Inverse Functions Primary SOL: The student will investigate and analyze linear, quadratic, absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic function families algebraically and graphically. Key concepts include j) Inverse of a function. Related SOL: , g, k Materials Exploring Inverse Functions activity sheet (attached) Finding the Inverse of a Function activity sheet (attached) Graphing utility Vocabulary dependent variable, domain, independent variable, input, one-to-one function, output, range, reflection, vertical line test, line of reflection Student/Teacher Actions: What should students be doing? What should teachers be doing? Time: 90 minutes Let students work in groups and complete the Exploring Inverse Functions activity sheet as a warm-up activity.

graphing utilities as they explore inverse functions in this lesson.) Finding the inverse: Inform students that the graph of a one-to-one function, f, and its inverse are symmetric with respect to y = x. Therefore, we can identify f −1 by interchanging the roles of x and y: if f is defined by the equation y = f(x), then f −1 is

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