Final answer:
The function that motivates employees to achieve organizational goals is Leading. Leadership encompasses various styles, from the controlling Theory X to the empowering Theory Y, and can be instrumental or expressive.
Step-by-step explanation:
The function that inspires and motivates workers to work hard to achieve organizational goals is Leading. Leadership involves not only overseeing and directing tasks but also inspiring, motivating, and guiding employees towards achieving the company's objectives. Effective leadership behavior can range from Theory X, where managers assume that employees are inherently lazy and need to be strictly controlled, to Theory Y, which suggests that employees are self-motivated and seek to work hard. The latter theory allows for a more collaborative and trusting environment. Managers who lead effectively are often seen as either instrumental leaders, focusing on task accomplishment, or expressive leaders, promoting emotional well-being and support among their teams.