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F-BF.4.a Warmup M2-017-A11-V04

Find inverse functions by solving f(x)=c for simple invertible functions and writing inverse expressions.

List reflected inverse key points

Problem

Apply reflection across \(y=x\) to \((2,2)\), \((-1,3)\), and \((4,-2)\). Show the coordinate exchange for each, list the inverse points, confirm the sampled domain-range reversal, and identify the fixed point with its geometric reason.

Source coordinate plot showing y=x and original sample points (2, 2), (−1, 3), and (4, −2); no inverse points are shown. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-BF.4.a
Category
Functions
Domain
Building Functions
Objective
Find inverse functions by solving f(x)=c for simple invertible functions and writing inverse expressions.
Problem type
List reflected inverse key points