The first, you should read the NORMALIZATION concepts (1NF,2NF,3NF,...) after that you can use them to verify your dependency diagram. So, I'm talking about some basic steps to help you convert ERD, which I often do:
1- Identify objects (objects are WHO, WHERE, WHAT, WHEN ), you imagine that they are exited
and can be defined.
2- Identify natural keys of objects and their properties,...
3- Identify relationships of objects. The step help you answer some questions:
- What actions?
- Who took place actions?
- Where actions are happened?
- When actions happened
4-If we have many-many relationship, we separate them into an individual table. Otherwise, we use foreign keys or not.
5- Verify our diagram matching which NF.
Now, we come back your ERD and we will convert it to dependency diagram.
Step 1- identify objects: Here, we can understand that we want to manage list of appointments of doctors and patients. So, we have 2 objects Doctor and Patient
Step 2- identify natural keys/properties of objects: you listed out above.
Step 3- identify relationships of objects: As you know, a patient can have zero or many appointments with doctors and a doctor can have zero or many appointments with patients. So, we have a many-many relationship.
Step 4- Because we have a many-many relationship, we create a table here.
Finally, we have a diagram
Doctor(Doc_FEmpID,Doc_Fname,Doc_FCellPhone) Patient(Pat_PatientID,Pat_PatientName,Pat_Phone,Pat_Address,Pat_City) Appointment(App_Num,Doc_FEmpID,Pat_PatientID,App_Date,App_Time)
Step 5- verify the diagram again.