Can you help me identify this plant?

Draecena corn plant? http://www.dracaena.com/dracaena-marginata-red-edged-dracaena.php It looks like a sub-species.

Or a “Ti Tree”?

I believe you have a yucca plant, specifically a Yucca elephantipes, its Latin name. Note the second part of the name “elephantipes”, which suggests it grows to be a huge plant, the size of an “elephant”. Here is a picture, and some information for you metadog. I hope I am correct and was able to help you. :)

http://www.plantoftheweek.org/week188.shtml

@MRSHINYSHOES: The rough stem looks likely. Good catch.

GQ! My ex had one and even with my thorough Googling, I could not figure out what it was. I just had to use trial and error to figure out how to care for it.

I guess the next question I have… this tree is like 9 feet tall. Can I top it? Will that hurt the plant?

Only one way to find out. Most trees survive pruning or limbing.