Question

A polynomial function has a root of –4 with multiplicity 4, a root of –1 with multiplicity 3, and a root of 5 with multiplicity 6. If the function has a positive leading coefficient and is of odd degree, which could be the graph of the function?

Answer 1

What would the graph look like

Answer 2

http://www.purplemath.com/modules/polys/ends05.gif

Answer 3

Thank you

Answer 4

Or, you can find the equation of the function and graph it on desmos.com/calculator

For example:
A root of 2 with a multiplicity 3 means:
x = 2

We need 0 on one side

x - 2 = 0

Now, the multiplicty 3 means:

(x-2)(x-2)(x-2), or (x-2)^3

and you do that for all the roots