how to graph and shade an absolute value inequality by translating parent graph

how to graph and shade an absolute value inequality by translating parent graph

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

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The video tutorial explains how to graph absolute value inequalities by treating them like absolute value equations initially. It covers the importance of determining whether the graph should be solid or dashed based on the inequality type. The tutorial also discusses how to identify the vertex and shift the graph accordingly. It emphasizes using test points to determine which areas of the graph are part of the solution set. The video concludes with a summary of the graphing process.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of line is used to graph an inequality that is 'greater than'?

Bold line

Dotted line

Dashed line

Solid line

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the inequality symbol 'greater than or equal to' affect the graph line?

It makes the line solid

It makes the line dashed

It makes the line dotted

It makes the line invisible

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the vertex of an absolute value graph is shifted 2 units left and 3 units up, what is the new vertex?

(2, -3)

(2, 3)

(-2, 3)

(-2, -3)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the best test point to use when determining the solution region of an inequality graph?

(1, 1)

(2, 2)

(0, 0)

(-1, -1)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean if a test point results in a false inequality?

The point is on the line

The point is irrelevant

The point is inside the solution region

The point is outside the solution region