Problem preview
A-REI.11 Warmup M3-012-A01-V01

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

Estimate solutions by reading intersections of a polynomial graph and a line

Problem

Use the graph of the parabola and line to estimate every intersection input and point.

Big Picture

What this problem is really about

Treat the equation as a search for inputs where the two graphs share an output. Scan the entire displayed window for every crossing, then project each crossing vertically to the horizontal axis. The vertical coordinates confirm shared points, but the solution list comes from the horizontal coordinates, so a second scan helps prevent stopping after the first crossing.

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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 solutions by reading intersections of a polynomial graph and a line