use the graph of the polynomial function shown below to identify the zeros of the function and the…

use the graph of the polynomial function shown below to identify the zeros of the function and the multiplicity of each zero. the largest possible multiplicity is three. leave any remaining answer boxes empty.\n\nzeros\tmult.\n\nnote: it is possible that some of the answer boxes will be empty!\nsubmit all parts

use the graph of the polynomial function shown below to identify the zeros of the function and the multiplicity of each zero. the largest possible multiplicity is three. leave any remaining answer boxes empty.\n\nzeros\tmult.\n\nnote: it is possible that some of the answer boxes will be empty!\nsubmit all parts

Answer

Explanation:

Step1: Identify zeros from x-intercepts

Zeros are $x=-4$, $x=1$, $x=4$

Step2: Match multiplicity to graph behavior

  • At $x=-4$: graph crosses x-axis, odd mult. Steep curve → mult. 3
  • At $x=1$: graph crosses x-axis, odd mult. Gentle cross → mult. 1
  • At $x=4$: graph touches x-axis, even mult. Flattened touch → mult. 2

Answer:

Zeros Mult.
$-4$ $3$
$1$ $1$
$4$ $2$