The function of a task manager in operating systems is to monitor and manage running applications and processes. It provides users with a graphical interface to view system performance, memory usage, and CPU utilization. Through task managers, users can terminate unresponsive applications, prioritize processes, and assess overall system health. In addition to application management, modern task managers often feature tools for performance optimization, system resource monitoring, and process analysis, making them essential for users who want to troubleshoot and manage their computing environment effectively.