Is this perennial plant invasive?
I am a new gardener, and I am not sure if this perennial (I don’t even know what it is) is invasive
That is Liriope or lilyturf. Lioriope muscari is not invasive but its cousin, Liriope spicata spreads rapidly. I think you have L. muscari but check images of both and decide for yourself. They can be tricky to tell apart.