+0

# How does the multiplicity of a zero determine the behavior of the graph at that zero?

0
21
2
+15

How does the multiplicity of a zero determine the behavior of the graph at that zero?

A seventh degree polynomial function has zeros of −6 (multiplicity of 2), 0, 1 (multiplicity of 3), and 4.

Please, I really don't understand this question

Jan 7, 2024

#1
+129690
+1

A  zero with an even multiplicity will touch (but not go  through) the x axis     -  behavior 1

A zero with a multiplicity of 1 will  go through the x axis   - behavior 2

A  zero  with an odd multiplcity  >  1 will  "flatten out" a bit before crossing the  x axis  - behavior 3

zero                      multiplicity                       behavior

-6                              2                                      1

0                              1                                       2

1                              3                                       3

4                             1                                       2

Corrected!!!

Jan 7, 2024
edited by CPhill  Jan 7, 2024
#2
+15
+1

Thank you sooo much CPhill, like really you are amazing :D

wilmaaaa  Jan 7, 2024