Zeros and Multiplicities
Zeros & Multiplicities
Given the function, [math]f\left(x\right)=\left(x+4\right)^m\left(x-1\right)^k[/math][br]Use the slider on the right hand side of the graph below to test different values for 'a' and 'b' as the multiplicities for each zero in the function. [br][br]Try to make observations about how the function behaves for [u]even[/u] multiplicities in contrast to [u]odd[/u] multiplicities.
Drawing Conclusions: Even Multiplicities
A zero of a polynomial with [b][u]even[/u] [/b]multiplicity will ____________________ at the zero.
Drawing Conclusions: Odd Multiplicities
A zero of a polynomial with [b][u]odd [/u][/b]multiplicity will ____________________ at the zero.
Nice Job!