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F-BF.4.a Warmup M2-017-A07-V02

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

Choose a domain restriction so a quadratic has an inverse function

Problem

For \(f(x)=(x-3)^{2}+2\), use the plotted vertex to restrict the function to its entire right branch. Give the domain restriction and range, then justify that the restricted function has an inverse by describing its monotonic behavior.

Full quadratic with vertex split without the worked conclusion. 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
Choose a domain restriction so a quadratic has an inverse function