Problem preview

A-REI.11 Warmup M3-012-A01-V04

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

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

Problem

Use the graph of the cubic and slanted line to report the intersection count, estimated input and point, and feature type.

Answer choices

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Count: one crossing. Input: x approximately 2. Point: approximately (-1.5,2). Feature: uses the y-coordinate as the input.

Count: one crossing. Input: x approximately 2. Point: approximately (2,2). Feature: tangent cubic-line intersection.

Count: one crossing. Input: x approximately -1.5. Point: approximately (-1.5,2). Feature: ordinary cubic-line intersection.

Count: two crossings. Inputs: x approximately -1.5 and 2. Points: approximately (-1.5,2) and (2,2). Feature: adds a second intersection.

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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 solutions by reading intersections of a polynomial graph and a line