The function of the organelle labelled II is to

The diagram shows a longitudinal section of a typical animal cell (or protozoan such as Amoeba) with four organelles labelled I through IV. Label II points to the nucleus, the large, membrane-bound organelle located centrally within the cell.

The nucleus is the control centre of the cell. It contains the cell's genetic material (DNA) organised into chromosomes, which carry instructions for protein synthesis and all cellular activities. Through gene expression, the nucleus directs metabolism, growth, reproduction, and responses to stimuli.

The other options describe functions of different organelles: mitochondria produce energy for the cell through aerobic respiration, the endoplasmic reticulum transports materials within the cell, and secretory vesicles or the cell membrane transport materials outside the cell. Since the structure labelled II is the nucleus, its primary function is to coordinate the activities of the cell.