Problem preview

F-IF.9 Warmup M2-025-A12-V03

Compare function properties across representations, especially quadratic comparisons.

Choose which function better fits a maximize-or-minimize goal by comparing extrema

Problem

For the goal of minimizing cost, compare \(A\)'s minimum value \(25\) with \(B\)'s minimum value \(18\). Relate a lower output to the stated objective and justify the better fit using the extrema rather than their numerical closeness.

Answer choices

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Choose A because a minimum of 25 means its costs do not drop as low as B’s, so it is more favorable.

Choose A because 25 is greater than 18, so A has the better minimum cost.

Choose B because 18 is closer to 25, so its minimum cost matches the target more closely.

Choose B because its minimum cost is 18, which is lower than A’s minimum of 25.

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Curriculum context

Course: Math II
Standard: F-IF.9
Category: Functions
Domain: Interpreting Functions
Objective: Compare function properties across representations, especially quadratic comparisons.
Problem type: Choose which function better fits a maximize-or-minimize goal by comparing extrema