Graph square-root, cube-root, absolute-value, step, and piecewise-defined functions, showing key features by hand in simple cases and with technology when the functions are more complicated.
Project a specified graph onto domain and range
Problem
Read domain and range from this fully specified graph: an absolute-value graph with vertex \((3,-2)\), opening upward, and both arms continuing without bound.
Domain and range come from two different shadows of the same graph. We’ll project the full graph horizontally for allowable inputs and vertically for attained outputs, following every arm or endpoint and preserving whether each finite boundary is included.
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