1. Planning: Managers must plan for the future by setting goals, developing strategies, and allocating resources.
2. Organizing: Managers must organize the work by defining tasks, assigning responsibilities, and establishing reporting relationships.
3. Staffing: Managers must staff the organization by recruiting, selecting, and training employees.
4. Leading: Managers must lead the organization by motivating, inspiring, and directing employees.
5. Controlling: Managers must control the organization by setting standards, measuring performance, and taking corrective action.

Here are the three types of supervisory relationships:

1. Authoritarian: The authoritarian supervisor is very directive and controlling. They tell employees what to do and how to do it. This type of supervisor can be effective in some situations, but it can also lead to employee dissatisfaction.
2. Democratic: The democratic supervisor is more participative and collaborative. They involve employees in decision-making and give them a voice in how the work is done. This type of supervisor is generally more effective than the authoritarian supervisor, but it can be more time-consuming.
3. Laissez-faire: The laissez-faire supervisor is very hands-off. They give employees a lot of autonomy and freedom to do their work as they see fit. This type of supervisor can be effective in some situations, but it can also lead to problems with coordination and control.

The best type of supervisory relationship depends on the specific situation. In some cases, an authoritarian supervisor may be more effective, while in other cases, a democratic or laissez-faire supervisor may be more effective. The key is to choose the type of supervisory relationship that is most likely to be successful in the particular situation.

In addition to the five functions and three types of supervisory relationships, there are a few other things that managers need to be aware of. These include:

• Communication: Managers need to be effective communicators. They need to be able to communicate clearly and effectively with their employees, their superiors, and other stakeholders.
• Motivation: Managers need to be able to motivate their employees. They need to be able to create a positive work environment and provide employees with the resources they need to be successful.
• Problem-solving: Managers need to be able to solve problems. They need to be able to identify problems, gather information, and develop solutions.
• Decision-making: Managers need to be able to make decisions. They need to be able to weigh the pros and cons of different options and make decisions that are in the best interests of the organization.

By understanding the five functions of management, the three types of supervisory relationships, and other important skills, managers can be more effective in their roles.