Function Composition

Investigating Multiplicity of Zeros of Polynomial Functions
Use the slider to change the power of the factor (x+2) in the polynomial function. 

1. What happens to the graph of the polynomial at the zero 2 as the multiplicity of the zero increases? 2. What happens to the graph of the polynomial at the zero 2 when the power of the factor (x+2) is even? 3. What happens to the graph of the polynomial at the zero 2 when the power of the factor (x+2) is even? 