Graphing Absolute Value Inequalities

The video tutorial explains how to graph an absolute value inequality. It begins by identifying the vertex and understanding how transformations affect the graph. The tutorial then demonstrates graphing the inequality using a table and points, reflecting points over the axis of symmetry, and determining whether the line should be dashed or solid. Finally, it covers how to determine the shading of the graph by testing points.

What is the first step in graphing an absolute value inequality?

• Determine the vertex

• Calculate the y-intercept

• Identify the axis of symmetry

• Find the slope

What does the 'a' value in an absolute value inequality affect?

• The y-intercept

• The axis of symmetry

• The vertical stretch or compression

• The horizontal shift

If there are no transformations inside the absolute value, how does the vertex move?

• Left or right

• Up or down

• Diagonally

• It doesn't move

How do you move the graph vertically when graphing an inequality?

• By changing the slope

• By adjusting the y-intercept

• By shifting the entire graph up or down

• By rotating the graph

What is a safe method to plot points on the graph?

• Using a calculator

• Using a table of values

• Guessing the points

• Drawing freehand

How do you find the y-value for a given x-value in an inequality?

• By guessing

• By using the midpoint formula

• By substituting x into the inequality

• By using the slope formula

What is the purpose of reflecting points over the axis of symmetry?

• To find the slope

• To ensure symmetry in the graph

• To determine the vertex

• To calculate the y-intercept

When should the graph line be dashed?

• When the inequality is 'greater than'

• When the inequality is 'equal to'

• When the inequality is 'less than'

• When the inequality is 'greater than or equal to'

How do you determine where to shade the graph?

• By testing a point inside the graph

• By testing a point outside the graph

• By testing the origin

• By using the slope

What is the final step in graphing an absolute value inequality?

• Drawing the axis of symmetry

• Labeling the vertex

• Finalizing the shading and line type

• Calculating the slope