# Math Help - graph with some complex roots

1. ## graph with some complex roots

Can someone explain to me the nature of a graph which has some complex roots?

2. Originally Posted by squidget_4
Can someone explain to me the nature of a graph which has some complex roots?
Not sure I understand the question, but let me give an example, the graph $f(x)=x^2+1$ has not real solutions, namely its solutions are $\pm i$. Thus, it cannot intersect the x-axis otherwise that would imply that it has real solutions

3. Thanks, that makes some sense to me, I was uncertain of what was being asked as well.