Even and odd multiplicities
- Jon Hasenbank
Use the check boxes to examine how the multiplicity of a zero (in this case, the zero at x = 1) affects the behavior of the function near that zero.
1. What do you notice? 2. How does the function's behavior near x = 1 change as the multiplicity grows larger? 3. Compare and contrast the behavior near x = 1 when the multiplicity is even vs. when it is odd.