Math III · A-REI.11

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

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

Concept Algebra
Domain Reasoning with Equations and Inequalities
Problem Types

Problem Templates In This Objective

13 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Estimate solutions by reading intersections of a polynomial graph and a line

4 variants
Template 2

Read approximate solutions to f(x)=g(x) from graph intersections

4 variants
Template 3

Estimate solutions to f(x)=g(x) by reading intersection x-values from a graph

4 variants
Template 4

Estimate the solutions of f(x)=g(x) by reading graph intersections

4 variants
Template 5

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

4 variants
Template 6

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

4 variants
Template 7

Classify an exact root, guaranteed bracket, or inconclusive table interval

4 variants
Template 8

Read approximate solutions from graph intersection output

4 variants
Template 9

Determine the number of solutions from graph intersections

4 variants
Template 10

Interpret a model intersection by shared input, output, units, and precision

4 variants
Template 11

Decide whether an equation should be solved exactly or approximately

4 variants
Template 12

Classify a proposed solution to f(x)=g(x) as valid, extraneous, or off-domain

4 variants
Template 13

Evaluate an approximate solution using bounded numerical or graph evidence

4 variants