Problem preview
A-REI.11 Warmup M3-012-A06-V01

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 exponential and logarithmic graphs to estimate the visible intersection point as an ordered pair.

Big Picture

What this problem is really about

First restrict attention to inputs where both graphs exist, then locate their shared point. Because the prompt asks for an ordered pair, read both coordinates from the same crossing instead of stopping with the solution input alone. Keep the horizontal coordinate first and the common vertical output second, checking each against its axis.

Inside Gozunta

Turn the preview into practice.

More than a preview

Gozunta lets you study this problem—and more than 10,000 others.

Create targeted learning sessions, use hints, check your answer, read the walkthrough, watch the video, print the work, and track your progress.

Discover Gozunta Try it now
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