I disagree that labels are necessarily damaging. I do think they can be limiting if we focus on them too much, but they can also be quite empowering. It feels to good name the parts of ourselves that wouldn't otherwise be recognized.
I would modify Nazaress' question a little bit: "But the boring response is: Answer this question. Are you attracted to both men and women?"
If you answered yes, do you think that social label would make sense for you (do you feel comfortable signaling to people that you're willing to date men and women)? Said another way, do you WANT to identify as bisexual? If you answered yes, then you're bisexual. Congratulations!
If you said, "I'm not sure," then sit tight. You can't rush trying to figure out who/what you're attracted to, unfortunately. If you stay open to exploring, you'll figure what you want as you move along. (And know that's okay to shuffle identities! I can't tell you how many people I know who've switched from identifying as straight to bi to straight to gay to bi, etc. That's pretty common and there's nothing wrong with it.)