1. Chapter 8.10 Inverse Variation

3. The graph of an inverse variation is not a straight line, since the equation is not linear. The term xy is of degree 2.

4. Example 1 xy -4- ¼ -2- ½ - ½-2 - ¼-4 xy ¼4 ½2 11 2½ 4¼

5. The graph of an inverse variation is called a hyperbola (you WILL see these later in Algebra II) When k is positive, the branches are in Quadrants I and III. When k is negative, the branches are in Quadrants II and IV.

6. Remember when you were a kid and tried to balance a teeter-totter (see-saw – a simple lever)? This is an example of an inverse variation The heavier kid had to sit closer to the middle of the teeter-totter to balance the lighter weight kid The equation that explains this phenomenon is

7. Example 2

8. Summary of Variation Equations Direct Variation Inverse Variation