Graphing Step Functions

This video tutorial explains how to graph step functions by understanding their general shape and constraints. It covers the use of closed and open circles in graphing inequalities and provides examples of graphing step functions with specific constraints. The tutorial also highlights common mistakes made when graphing without considering constraints and concludes with a summary of the lesson.

What does a closed circle on a graph indicate?

• The point is not part of the graph.

• The point is part of the graph.

• The graph is continuous.

• The graph is undefined at that point.

How does a step function behave within each interval?

• It oscillates.

• It increases linearly.

• It decreases linearly.

• It remains constant.

In the given step function, what is the value of y when x is greater than or equal to 0?

• y = 3

• y = 7

• y = 1

• y = 5

What is the correct graph representation for y = 2 if x is between -3 and 4?

• Closed circle at -3 and open circle at 4

• Open circle at -3 and closed circle at 4

• Open circles at both -3 and 4

• Closed circles at both -3 and 4

What common mistake is made when graphing y = -2 for x < -3?

• Using a dashed line for the graph

• Not applying the constraint x < -3

• Graphing y = -2 for x > -3

• Using a closed circle at -3