Cube root function equation identification from graph.

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Problem

Cube root function equation identification from graph.

Step-by-step solution

The graph passes through the point (1, 3). Substituting x=1 into the options, only y = \sqrt[3]{x-1}+3 yields y=3. Testing another point (2, 4), we get 4 = \sqrt[3]{2-1}+3 = \sqrt[3]{1}+3 = 1+3 = 4, confirming the equation.

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Answer

$y = \sqrt[3]{x-1}+3$