1. Inverse Variation and Graphing

2. Objectives
Identify Inverse Variations
Graphing inverse variations

3. Reminder What is direct variation? What does the graph look like?
Form of
Example:

4. Inverse Variation
What might inverse variation mean? What does the graph look like?
Form of: OR:
Ex.

5. Inverse Variation Example
Graph the relationship between a bike’s speed and the time it takes to travel 24 miles.

6. Identify Direct or Inverse
Is the relationship between the variables a direct variation, an inverse variation, or neither? Sketch a quick graph.
1) Is Y Increasing/decreasing with X?
2) Is there a consistent relationship?
3) Sketch quick graph

7. Graphing Inverse Variation
Draw a graph for

8. Asymptotes? For What are the asymptotes for the function?
What is the Domain?
What is the Range?

9. Comparing Graphs
On the graphing calculator, let’s graph: How are these graphs similar/different? Describe any symmetry you see.

10. Comparing Graphs
Let’s graph How are these graphs similar/different? Describe any symmetry you see.

11. Homework #______
p. 488 #1-9 (describe asymptotes), 33 (make an x-y table, include pos. and neg. values)