How to graph absolute value inequalities

This video tutorial explains how to graph absolute value inequalities by identifying transformations, determining whether to use solid or dashed lines, plotting the vertex, and using tables for graphing. It also covers testing solutions by choosing test points to determine which areas of the graph represent solutions.

What is the first step in graphing absolute value inequalities?

• Choose a test point

• Identify transformations such as shifts and reflections

• Determine the inequality symbol

• Identify the vertex of the graph

How do you decide if the graph should be solid or dashed?

• By looking at the inequality symbol

• By checking the vertex position

• By using a table of values

• By evaluating test points

What is the role of the vertex in graphing absolute value inequalities?

• It determines the slope of the graph

• It is the point from which transformations are applied

• It decides the inequality symbol

• It is used to test the solution

When should you use a table of values to plot the graph?

• When there are no transformations

• When the inequality symbol is greater than

• When the graph is solid

• When dealing with dilations like compression or stretch

What is the purpose of choosing a test point in graphing inequalities?

• To decide the slope of the graph

• To determine the vertex

• To identify transformations

• To find out which side of the graph to shade