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A-REI.11 Warmup M1-007-A09-V03

Solve equations of the form f(x)=g(x) approximately by finding graph/table intersections.

Use sign changes to bracket an approximate solution

Problem

Use the table of \(f(x)~-~g(x)\) values below to narrow the interval where \(f(x)~=~g(x)\). Assume \(f(x)~-~g(x)\) changes continuously between listed \(x\)-values.

Table of x and f of x minus g of x values: 0.0 maps to 3.0, 0.5 maps to 1.1, 1.0 maps to negative 0.2, and 1.5 maps to negative 1.4. Open full size
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Four variants of this problem type
Curriculum context
Course
Math I
Standard
A-REI.11
Category
Algebra
Domain
Reasoning with Equations and Inequalities
Objective
Solve equations of the form f(x)=g(x) approximately by finding graph/table intersections.
Problem type
Use sign changes to bracket an approximate solution