Problem preview

F-IF.4 Warmup M1-022-A06-V04

Interpret and sketch key graph/table features in context: intercepts, intervals, maxima/minima, symmetry, end behavior, and periodicity.

Interpret an extremum point in context

Problem

On the observed interval, temperature \(T(t)\), in \(^{\circ}\text{F}\), has global minimum point \((6,~48)\), where \(t\) is hours after observation begins. Identify the extremum type, input and output, function statement, and contextual meaning.

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type = minimum rate; input = 6 hours; output = 48°F/hour; meaning = temperature changes slowest

type = global minimum; input = 48°F; output = 6 hours; statement = T(48)=6

type = global maximum; input = 6 hours; output = 48°F; meaning = highest temperature is 48°F

type = global minimum; input = 6 hours after observation begins; output = 48°F temperature; statement = T(6)=48; meaning = the lowest observed temperature is 48°F at hour 6

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Curriculum context

Course: Math I
Standard: F-IF.4
Category: Functions
Domain: Interpreting Functions
Objective: Interpret and sketch key graph/table features in context: intercepts, intervals, maxima/minima, symmetry, end behavior, and periodicity.
Problem type: Interpret an extremum point in context