Problem

Compare \(A(x)~=~x^2\) and \(B(x)~=~1/x\). For each, state the domain, range, extrema or asymptotes, intercepts, and branch behavior that apply.

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A: domain all real, range [0,∞), minimum and both intercepts at (0,0). B: domain and range exclude 0, asymptotes x=0 and y=0, no intercepts, and two decreasing branches.

A: domain [0,∞), range all real, endpoint at (0,0). B: domain (0,∞), range (0,∞), endpoint at (0,0), and no asymptotes or separate branches.

A: domain excludes 0, range excludes 0, and asymptotes x=0 and y=0. B: domain all real, range [0,∞), minimum and both intercepts at (0,0), and one increasing branch.

A: domain all real, range [0,∞), and maximum at (0,0). B: domain all real, range all real, no asymptotes, intercept at (0,0), and two increasing branches.

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Compare \(A(x)~=~x^2\) and \(B(x)~=~1/x\). For each, state the domain, range, extrema or asymptotes, intercepts, and branch behavior that apply.

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