Problem

Compare \(A(x)~=~\sqrt{x~-~1}~+~2\) and \(B(x)~=~6/(x~-~1)~+~2\). State \(A\)'s endpoint, domain, and range; \(B\)'s asymptotes and exclusions; and explain how shared \(h~=~1\) and \(k~=~2\) name different feature types.

Answer choices

Choose your path.

Preview only

A: endpoint (1,2), domain [1,∞), range [2,∞). B: asymptotes x=1 and y=2, excluding both values. Shared h=1 and k=2 name different feature types.

A: endpoint (−1,2), domain [−1,∞), range [2,∞). B: asymptotes x=−1 and y=2. Shared h=−1 and k=2 arise from changing both inner signs.

A: endpoint (1,2), domain [1,∞), range [2,∞). B: endpoint (1,2), domain [1,∞), range [2,∞). Shared h=1 and k=2 make their endpoint features identical.

A: asymptotes x=1 and y=2, domain and range exclude those values. B: endpoint (1,2), domain [1,∞), range [2,∞). Shared h and k exchange their feature types.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Compare \(A(x)~=~\sqrt{x~-~1}~+~2\) and \(B(x)~=~6/(x~-~1)~+~2\). State \(A\)'s endpoint, domain, and range; \(B\)'s asymptotes and exclusions; and explain how shared \(h~=~1\) and \(k~=~2\) name different feature types.

Turn the preview into practice.

Gozunta lets you study this problem—and more than 10,000 others.