![]() ![]() Analyze and describe the relationship between the function and its inverse. Graphing a Function and Its Inverse Consider the function □ □ =□ □ □ −□ with domain □>□, and its inverse, □ −□ □ = □+□ □. The domain □□ the inverse is □≥□ and range is −∞, ∞. ![]() The domain □□ the function is −∞, ∞ and range is □≥□. The given function is quadratic so its inverse is square root. Analyze and describe the relationship between the function and its inverse, including restrictions on domain and range. Let A = area of garden □= □ C = cost Cost, C Area, A Cost (C) 1 1 2 4 3 9 5 25 Area (A)įinding an Inverse Consider the function □= □ □ +□. What is an equation of this graph? Explain your reasoning. As part of a cost analysis, the landscaper examines the cost of the edging as a function of the area of the garden. Restrict the domain of f so that the inverse of the restricted function is a function.Ī landscaper is designing a square garden and wants to put edging along one side. □ −1 is not a function because it fails the vertical line test. Thus, a vertical line can intersect the graph of □ −1 in two points. Inverse of a Quadratic Function A horizontal line can intersect the graph of □ □ = □ 2 in two points, i.e.,f (-2) = f (2). Add 8 to both sides Divide both sides by 4 to solve for y. Divide both sides by 3 to solve for y.Ħ 6-1 Square Root Functions as Inverses - Additional Vocabulary Support The inverse of a function f is represented by If a relation and its inverse are functions, then they are inverse relation □ −1 inverse functionsĤ 6-1 Square Root Functions as Inverses - Additional Vocabulary Supportĥ 6-1 Square Root Functions as Inverses - Additional Vocabulary Support ![]() A relation pairs element a of its domain to element b of its range. one-to-one function inverse relation □ −1 inverse functions one-to-one function In a(n), each y-value in the range corresponds to exactly one x-value in the domain. Use composition of quadratic and square root functions to determine if they are inverses.ģ one-to-one function inverse relation □ −1 inverse functionsĦ-1 Square Root Functions as Inverses - Additional Vocabulary Support Choose the word or phrase from the list that best matches each sentence. Objectives: Describe and analyze the relationship between a quadratic function and its square root inverse. Presentation on theme: "Topic 6 - Square Root Functions & Equations"- Presentation transcript:ġ Topic 6 - Square Root Functions & EquationsĦ-1 Square Root Functions as Inverses 6-2 Attributes of Square Root Functions 6-3 Transformations of Square Root Functions 6-4 Introduction to Square Root Equations 6-5 Solving Square Root Equations ![]()
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