The multiplicities of the zeros are how many times that factor appeared in the factored form of a polynomial function.
If the multiplicities are even, then they are tangent to the x-axis
So, the graph is tangent to x at -6
If the multiplicities are odd, then they cross while hugging the x-axis.
So, the graph of the function crosses while hugging the X-axis at 1
And the graph crosses through at the values with no multiplicities, which are 0 and 4
So, the answers are:
a) Is tangent to
b) Crosses straight through
C) Crosses through whle hugging
d) Crosses straight through