Problem

Compare domain and range for these representations: A is \(y=(x-1)^{2}+2\) restricted to \(-1\le~x\le~3\); B is the same quadratic unrestricted.

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A domain=[-1,3]; A range=[2,∞); B domain=(-∞,∞); B range=[2,6]; domain relation=A proper subset of B; range relation=B proper subset of A; endpoint checks=A(1)=2,A(-1)=A(3)=6

A domain=[2,6]; A range=[-1,3]; B domain=[2,∞); B range=(-∞,∞); domain relation=A proper subset of B; range relation=A proper subset of B; boundary evidence=domain and range boundaries interchanged

A domain=[-1,3]; A range=[2,6]; B domain=(-∞,∞); B range=[2,∞); domain relation=A proper subset of B; range relation=A proper subset of B; endpoint checks=A(1)=2,A(-1)=A(3)=6

A domain=(-∞,∞); A range=[2,∞); B domain=(-∞,∞); B range=[2,∞); domain relation=same; range relation=same; endpoint checks=both have minimum2 at x=1

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Compare domain and range for these representations: A is \(y=(x-1)^{2}+2\) restricted to \(-1\le~x\le~3\); B is the same quadratic unrestricted.

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