a graph with a degree of 6 and zeros at -3, 0, 2, and 3

Question

End behaviors are up and up

Answer 1

This is the graph of f(x)=x⁶-2x⁵-9x⁴+18x³=x³(x-3)(x+3)(x-2).

It has a multiple zero at x=0 and other zeroes at -3, 2, 3.

There are many more polynomials of degree 6 which include the given zeroes. For example: 

f(x)=x⁶-2x⁵-8x⁴+16x³-9x²+18x=x(x²+1)(x-3)(x+3)(x-2) shown below.