Graph an absolute value inequality with transformations when not in transformation form

Graph an absolute value inequality with transformations when not in transformation form

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Hard

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The video tutorial explains how to graph an absolute value inequality. It begins by setting up the inequality and rewriting it for graphing. The instructor discusses transformations, focusing on vertex changes, and demonstrates how to graph the inequality, emphasizing the importance of line types. The tutorial concludes with testing points to determine shading for the solution area.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in graphing the absolute value inequality given in the video?

Graph the parent function

Isolate the variable y

Identify the vertex

Solve for x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the vertex of the graph change with the transformations described?

It moves right and down

It remains at the origin

It moves left and down

It moves left and up

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of line is used to represent the inequality in the graph?

Dotted line

Solid line

Bold line

Dashed line

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the line dashed in the graph of the inequality?

Because the graph is part of the solution

Because the graph is not part of the solution

Because the inequality is non-strict (equal to)

Because the inequality is strict (not equal to)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point is typically used to test if it lies within the solution area of the graph?

(1,1)

(2,2)

(0,0)

(-1,-1)