Interpret key graph/table features of quadratic models in context.
Decide whether a quadratic model's prediction is meaningful for a given input
Problem
Decide whether extrapolated prediction \(h(6)\) is meaningful for context \(h(t)\) models ball height from \(t=0\) until it lands at \(t=4\).
Big Picture
What this problem is really about
A formula can accept an input algebraically even when the real-world model does not describe that input. We’ll identify the contextual time interval first, test the proposed time against its endpoints, and interpret any failed bound before deciding whether an output calculation has physical meaning.
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