It's a Phoenix roebellenii, Pygmy Date Palm. They're not the best indoor palm. If it's been recently potted it might be adjusting to the change. Did it go from the ground into that pot, or from another pot?

Being taken out of the ground is usually a lot more traumatic for a plant than from a pot. You might need to go back to the supplier and tell them about the issue. Did they do the last repotting, or did you? An important thing with watering is that the water drains away reasonably fast, a fast draining soil. Then you water it to keep it moist, whatever frequency of watering that takes.

Sometimes you'll see these plants in shopping malls doing quite well. But they're hired by the mall, not bought. The hire companys only leave the plants there a limited time and then take them back to allow time to recuperate in more ideal conditions. The plants are replaced so you never really notice that they've been changed over, giving the illusion that they're happy in the mall conditions.