This plant was given to me and I don't know how to care for it. It is dying. It has five stems but only 3 of the stems have leaves on it, and they are all turning yellow.
Doesn't look like a palm to me (though it's hard to tell from the pic, sry). It looks like a dracaena marginata.
Dracaena marginata: http://hort.ifas.ufl.edu/shrubs/DRAMARA.PDF Looks like from the picture that it's getting full sun. They prefer indirect lighting or partial shade.
I have mine growing in full sun and they love it!! I am subtropical though, I don't know how cold it gets in Dallas. Ed