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The dormant period is in the winter. Most houseplants, even though they are indoors, go into a dormant state when the days get shorter. You may not see any outwards signs of this, but you may notice that they do not grow much and need less water.

This can happen for a few reasons, all involving water in one form or another. A rubber tree that is underwatered or overwatered will curl its leaves. As will a rubber tree that is in too low of a humidity.

This time of year, it you just saw this behavior recently, it is likely a humidity issue. It is not uncommon that when the heat turns on, the humidity in the house drops. Try setting the plants on a tray filled with pebbles and water. This will raise the humidity around the plant and help to fix the curling leaves.

Rubber trees are only hardy to 30 F. If it gets colder than 30 F where you live, it should not be planted outside. If you feel that the tree would be safe, you can plant it out in the yard. However, potted plants do enjoy spending summers outdoors.

This article will help you determine if the plant is dead or alive:
https://www.gardeningknowhow.com/plant-problems/environmental/how-to-tell-if-a-plant-is-dead-and-how-to-recover-an-almost-dead-plant.htm

Rubber trees are only hardy to 30 F. If it gets colder than 30 F where you live, it should not be left outside. Anything lower will kill them. You can trim your rubber plant if it is becoming too large. Here is an article that you may find helpful: https://www.gardeningknowhow.com/houseplants/rubber-tree/prune-rubber-tree.htm

Overly wet soil can cause drooping. It could have been overwatered. If it was overwatered, even once, it may have root rot. This article has more information: https://www.gardeningknowhow.com/plant-problems/disease/treating-root-rot-gardening-tips-for-housplants.htm