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Problem preview
A-REI.11 Warmup M3-012-A04-V01

Solve f(x)=g(x) approximately using intersections of polynomial, rational, radical, absolute-value, exponential, and logarithmic graphs.

Estimate the solutions of f(x)=g(x) by reading graph intersections

Problem

Use the V-shaped graph and line to estimate every visible intersection input.

Coordinate graph showing a horizontal line and a V-shaped graph crossing near x equals negative 1 and x equals 3. Open full size
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What this problem is really about

An absolute-value graph has two arms, so count intersections by checking both sides of its vertex. A horizontal line can meet one arm, both arms, or neither, and the graph's symmetry offers a quick completeness check. After locating every crossing, keep the horizontal coordinates rather than the common height.

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Four variants of this problem type
Curriculum context
Course
Math III
Standard
A-REI.11
Category
Algebra
Domain
Reasoning with Equations and Inequalities
Objective
Solve f(x)=g(x) approximately using intersections of polynomial, rational, radical, absolute-value, exponential, and logarithmic graphs.
Problem type
Estimate the solutions of f(x)=g(x) by reading graph intersections