Problem preview

F-IF.7.a Warmup M1-025-A04-V03

Graph linear and quadratic functions and show key features such as intercepts, maxima, and minima.

Identify key features of an unrestricted linear graph

Problem

For the closed line segment from \((1,2)\) to \((5,10)\), identify slope/behavior, equation of its supporting line, included endpoints, graph intercepts, domain, and range.

Coordinate graph showing a closed line segment from 1 comma 2 to 5 comma 10.

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slope = (10-2)/(5-1)=2, increasing; supporting line = y=2x; endpoints = (1,2),(5,10), both included; graph intercepts = none because (0,0) is outside the segment domain; domain = [1,5]; range = [2,10]

slope = 2; graph intercept = (0,0) despite domain [1,5]

slope = 1/2; supporting line = y=0.5x+1.5

domain = [2,10]; range = [1,5]

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Curriculum context

Course: Math I
Standard: F-IF.7.a
Category: Functions
Domain: Interpreting Functions
Objective: Graph linear and quadratic functions and show key features such as intercepts, maxima, and minima.
Problem type: Identify key features of an unrestricted linear graph