Interpret and sketch key graph/table features in context: intercepts, intervals, maxima/minima, symmetry, end behavior, and periodicity.
Sketch a graph from verbal features
Problem
State the graph's rule, domain, range, intercepts, extrema, and interval behavior.
Big Picture
What this problem is really about
A reliable sketch starts with features that the rule fixes exactly, not with a guessed curve. We’ll use useful forms of the quadratic to locate its zeros, symmetry line, and extreme point, then keep only the portion allowed by the stated domain. Connecting those anchors with the correct concavity also reveals the range and where the function rises or falls.
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