Exercise induced vs. Non-exercise induced are different options. Part of me wants to say "if you have asthma, you'd KNOW you have asthma" but I've always hated that explanation, not to mention I got diagnosed relatively late when I probably had it for years and no one diagnosed it and I never made the connection.
I finally went into the doctor when I had an asthma attack bad enough where I thought I was going to pass out.
For me, it feels like someone is somehow squeezing my chest - like I can't move air in or out easily. My lungs burn and I can feel mucous form in my bronchi as I breathe. I imagine the biggest part that differentiates asthma from just being really out of breath, at least to me, is when I stop exercising/moving and I try to catch my breath, it stays bad and hard to breathe. If I'm just out of breath (which happens, I'm wildly out of shape), when I stop moving, I catch my breath within a minute or 2 and there isn't much of any pain or lasting effects. After an asthma attack, my lungs hurt for hours or days (depending on the severity of the attack), I cough up mucous, my chest hurts, and my accessory breathing muscles hurt/are sore. Asthma attacks can be very scary. You feel like you can't breathe - because your breathing IS severely impared. I don't recommend that feeling to anyone, it's horrible.
If you truely have asthma, definitely go to the doctor. You can get a rescue inhaler to help when you have an attack and if it's bad enough, there are daily medications too.
Best of luck! Feel free to reply or reach out with questions :)