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A-REI.11 Warmup M3-012-A06-V03

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

Use the graph of \(y~=~2^x\) and \(y~=~\log_2(x)\) on \(x~>~0\) to state the real-intersection conclusion.

Coordinate graph showing the inverse-like curves y equals log base 2 of x and y equals 2 to the x staying separate on the shared domain x greater than 0 in the viewing window. 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