3.1.10

Continue to make vertex-edge graphs, making one alteration at a time.  You should have at least a page full of them.  Use this work to answer the following questions:

1. What happens when you add a vertex? Is this always true?  Why?
2. What happens when you add an edge? Is this always true? Why?
3. What happens when you add a face? Is this always true? Why?
4. Do you notice any special relationships between the number of vertices, edges and faces?

Use examples to illustrate each answer.