Final answer:
Dendrites are the single, non-motile organelles in cells that provide sensory function.
Step-by-step explanation:
The single, non-motile organelle found in nearly every cell in the body that may provide sensory function for a cell is called dendrites. Dendrites are branch-like extensions of the cell body of a neuron that receive signals from other neurons or sensory receptors, allowing the neuron to relay sensory information to the central nervous system. They play a critical role in sensory information processing and are primarily found in sensory neurons. For example, in the skin, dendrites can receive sensory information like touch, temperature, or pain.