+1995 How does the multiplicity of a zero determine the behavior of the graph at that zero?
Select answers form the drop-down menus to correctly complete the statements.
A seventh degree polynomial function has zeros of −6 , 0 (multiplicity of 3), 1 (multiplicity of 2), and 4.
The graph of the function ( ) the x-axis at −6 .
The graph of the function ( )the x-axis at 0.
The graph of the function ( ) the x-axis at 1.
The graph of the function ( )the x-axis at 4.
The options for all the slots are either (is tagent to),(cross straight through), and (cross through while hugging).
I know this is quite a bit, but i really need some help on this
+129852 A seventh degree polynomial function has zeros of −6 , 0 (multiplicity of 3), 1 (multiplicity of 2), and 4.
The graph will cross straight through at x = -6 and x = 4
We have an odd multiplicity > 1 at x = 0......therefore.....the graph will "cross through while hugging" here [ this will always be true with an odd multiplicity > 1 ]
We have an even multiplicity at x = 1......the graph will always be tangent with an even multiplicity
Here's the graph : https://www.desmos.com/calculator/vpimkckn3k
