Finding Intersections: IM Alg2.2.11
1. Alg2.2.11 Lesson
1. IM Alg2.2.11 Lesson: Finding Intersections
2. Alg2.2.11 Practice
1. IM Alg2.2.11 Practice: Finding Intersections

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Finding Intersections: IM Alg2.2.11

GeoGebra Classroom Activities, Dec 14, 2020

[url=https://im.kendallhunt.com/HS/teachers/3/2/11/preparation.html]“Finding Intersections”[/url] from IM Algebra II © 2019 [url=https://www.illustrativemathematics.org/]Illustrative Mathematics[/url]. Licensed under the [url=https://creativecommons.org/licenses/by/4.0/]Creative Commons Attribution 4.0[/url] license.

Alg2.2.11 Lesson
1. IM Alg2.2.11 Lesson: Finding Intersections
Alg2.2.11 Practice
1. IM Alg2.2.11 Practice: Finding Intersections

1.

Alg2.2.11 Lesson

1. IM Alg2.2.11 Lesson: Finding Intersections

1.1.

IM Alg2.2.11 Lesson: Finding Intersections

Mentally identify a point where the graphs of the two functions intersect, if one exists.

[math]f(x)=x[/math] and [math]g(x)=3[/math]

[math]j(x)=(x+3)(x-3)[/math] and [math]k(x)=0[/math]

[math]m(x)=(x+3)(x-3)[/math] and [math]n(x)=(x-3)[/math]

[math]p(x)=(x+5)(x-5)[/math] and [math]q(x)=(x+3)(x-3)[/math]

For each pair of polynomials given, find all points of intersection of their graphs.

[math]c(x)=x^2-7[/math] and [math]d(x)=2[/math]

[math]f(x)=(x+7)(x-4)[/math] and [math]g(x)=x-4[/math]

[math]m(x)=(x+7)(x-4)[/math] and [math]n(x)=(2x+5)(x-4)[/math]

[math]p(x)=(x+1)(x-8)[/math] and [math]q(x)=(x+2)(x-4)[/math]

Find all points of intersection of the graphs of the equations

[math]p(x)=(2x+3)(x-5)[/math] and [math]q(x)=(x+5)(x+1)(x-3)[/math].

Use graphing technology to check your solutions.

[size=150]Consider the functions [math]p(x)=5x^3+6x^2+4x[/math] and [math]q(x)=5640[/math].[/size][br][br]Use graphing technology to find a value of [math]x[/math] that makes [math]p(x)=q(x)[/math] true.[br]

For the [math]x[/math]-value at the point of intersection, what can you say about the value of [math]5x^3+6x^2+4x-5640[/math]?[br]

What does your answer suggest is a possible factor of [math]5x^3+6x^2+4x-5640[/math]?[br]

Write your own polynomial [math]m(x)[/math] of degree 3 or higher.[br]

Use graphing technology to estimate the values of [math]x[/math] that make [math]m(x)=q(x)[/math] true.[br]

2.

Alg2.2.11 Practice

1. IM Alg2.2.11 Practice: Finding Intersections

0

Finding Intersections: IM Alg2.2.11

Table of Contents

1.

Alg2.2.11 Lesson

1.1.

IM Alg2.2.11 Lesson: Finding Intersections

Mentally identify a point where the graphs of the two functions intersect, if one exists.

For each pair of polynomials given, find all points of intersection of their graphs.

Find all points of intersection of the graphs of the equations

Use graphing technology to check your solutions.

2.

Alg2.2.11 Practice

2.1.

IM Alg2.2.11 Practice: Finding Intersections

Draw a rough sketch of the graph of

The graph of a polynomial function f is shown.

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