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F-IF.5 Warmup M2-019-A08-V03

Relate the domain of a quadratic function to its graph and situation.

Choose an appropriate graph window for a quadratic model in context

Problem

Create an appropriate graph window for \(A(x)=x(10-x)\) on \(0\le~x\le~10\) that includes \(\text{both}~\text{zero}\text{-}\text{area}~\text{endpoints}\) and headroom above maximum area \(25\). State exact bounds for \(x\) and \(A\) and explain why no key feature is clipped.

Neutral graph-window card. It contains no candidate graph or answer information; all window candidates are stated equally in the answer choices. Open full size
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Four variants of this problem type
Curriculum context
Course
Math II
Standard
F-IF.5
Category
Functions
Domain
Interpreting Functions
Objective
Relate the domain of a quadratic function to its graph and situation.
Problem type
Choose an appropriate graph window for a quadratic model in context