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A-REI.11 Warmup M3-012-A05-V01

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

Estimate the solution x-value(s) from the intersection of two graphs

Problem

Use the growth curve and line to estimate every visible intersection input.

Coordinate graph showing an exponential growth curve and a horizontal line crossing once near x equals 4. Open full size
Big Picture

What this problem is really about

Use the shapes to frame how many crossings could occur before estimating any coordinate. Scan the entire shown window for every place the steadily increasing growth curve meets the horizontal level, then read each crossing's input from the horizontal axis. The line's height is the common output and serves as a check, not as the requested solution input.

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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 the solution x-value(s) from the intersection of two graphs