Problem preview
A-REI.11 Warmup M1-007-A03-V01

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

Use a table to locate where two functions are equal

Problem

Use the comparison table below. Report an exact equality row when present; otherwise report an adjacent order-reversal bracket and the function order at each endpoint. Do not assume continuity.

Big Picture

What this problem is really about

We’ll compare the two output columns at each common input, first looking for a row where the values are exactly equal. If no row matches, adjacent inputs where the functions reverse order form a candidate crossing bracket rather than an exact solution. That reversal guarantees an actual crossing only when continuity on the interval is known, so the table evidence must be reported with the proper qualification.

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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 a table to locate where two functions are equal