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

An eighth-degree polynomial has zeros of -4 (multiplicity of 2), -1, 0 (multiplicity of 3), and 2.

Fill in the blanks with one of the following choices:

•Is tangent to
•Crosses straight through
•Crosses through while hugging
The graph of the function

the x-axis at -4.

The graph of the function

the x-axis at -1.

The graph of the function

he x-axis at 0.

The graph of the function

the x-axis at 2.