How to graph absolute value inequality by using test points & applying transformation

The video tutorial explains how to graph absolute value inequalities by first graphing the corresponding equation and determining the solution set. It covers identifying the inequality symbol to decide if the line is solid or dashed, understanding transformations to shift the graph, and the effects of negative and fractional coefficients. The tutorial also demonstrates creating a table of values to plot points and using symmetry to complete the graph. Finally, it explains how to determine which side of the graph to shade based on test points.

What does a solid line in an absolute value inequality graph indicate?

• The inequality is strict (less than or greater than).

• The inequality includes equal to (less than or equal to, greater than or equal to).

• The graph is not part of the solution.

• The graph is only for positive values.

How does a negative coefficient affect the direction of an absolute value graph?

• It opens the graph downwards.

• It opens the graph upwards.

• It shifts the graph to the left.

• It shifts the graph to the right.

What is the effect of a horizontal stretch on an absolute value graph?

• It shifts the graph upwards.

• It makes the graph narrower.

• It shifts the graph downwards.

• It makes the graph wider.

Why is it useful to create a table of values when graphing absolute value equations?

• To determine the slope of the line.

• To find the y-intercept.

• To calculate the area under the curve.

• To understand the symmetry of the graph.

Which point is typically used to test where to shade the graph of an inequality?

• Any point outside the graph.

• A point on the line.

• The vertex of the graph.

• The origin (0,0).

What should you do if the test point lies on the line of the inequality?

• Choose another point not on the line.

• Shade above the line.

• Do not shade at all.

• Shade below the line.

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

• The point is part of the solution.

• The point is not part of the solution.

• The entire graph is incorrect.

• The inequality needs to be reversed.