Graph square-root, cube-root, absolute-value, step, and piecewise-defined functions.
Identify key graph features from a square-root, cube-root, absolute-value, step, or piecewise function rule
Problem
For \(y~=~\sqrt{x~-~3}~+~2\), state the graph family, starting feature, direction of continuation, and domain.
Big Picture
What this problem is really about
Recognize the square-root family by its single endpoint and one-sided continuation. Algebraically, set the radicand to zero to locate that endpoint, then require the radicand to stay nonnegative to describe every allowed input. The graph’s direction from the endpoint is the visual check on the resulting domain.
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