Question 78472
It sounds like you are describing a cubic ( a function with {{{x^3}}} in it). Since I cannot see the graph, simply look at the graph and see if it intersects with these lines:

{{{y=0}}}, {{{y=1}}}, {{{y=2}}}, {{{y=3}}}

If it intersects in 3 places it will have 3 real roots. If it intersects at 1 place, then it will have 1 real root and 2 complex root. So if the graph intersects with say {{{y=1}}} at one spot, then it will have 2 complex roots.