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A-REI.11 Warmup M3-012-A06-V04

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

Estimate graph intersection coordinates to solve f(x)=g(x) approximately

Problem

The graph reports an apparent crossing near \((-1,~2)\), but the logarithmic function has domain \(x~>~0\). State the domain-valid intersection conclusion and reason.

Unannotated coordinate graph of an exponential curve and a logarithmic curve drawn only on its actual domain x>0. The axes and both function labels are shown; no off-domain shading, reported-point marker, or domain-conclusion label appears. 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
Estimate graph intersection coordinates to solve f(x)=g(x) approximately