Problem preview

F-IF.4 Warmup M1-022-A04-V04

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

Interpret interval behavior in context

Problem

Car speed \(v(t)\), in miles per hour, is constant on \(3~\le~t~\le~7\) seconds, with \(v(t)~=~45\) throughout. State the behavior and interval, compare values, calculate net change, and interpret the result in context.

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behavior = decreasing; comparison = later speeds are lower; net change = -4 miles/hour

behavior = increasing; comparison = later speeds are higher; net change = +4 miles/hour

behavior = constant; interval = 3 to 7 miles/hour; comparison = time stays 45 seconds; net change = 0 seconds

behavior = constant; interval = 3 to 7 seconds; comparison = all speeds in the interval are 45 miles/hour; net change = 0 miles/hour; meaning = the car maintains 45 miles/hour from second 3 through second 7

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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 interval behavior in context