What Is This Houseplant? (Ficus)

Can anyone please tell me what this is? It was given to me several years ago. I have been "winging it" on caring for it ever since. Over the past several months it hasn't been doing so well. The leaves are turning half brown/dead, half green. Whole branches of leaves are dying/drying out. I have just re-potted it, in a larger pot. I have no experience with plants. It was given to me when my father passed away, so it has sentimental value. Maybe if I know what it is, I can care for it better. I can provide different pictures if needed. Please help!