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A-REI.11 Warmup M3-012-A09-V03

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

Determine the number of solutions from graph intersections

Problem

A radical graph touches a line at its included endpoint and has \(\text{no}~\text{other}~\text{crossing}\). State the number of solutions.

Coordinate graph showing a square-root curve touching a horizontal line at its endpoint and not crossing again. Open full size
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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
Determine the number of solutions from graph intersections