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Update:
I've managed to create functions for my code and a constructor. The only difficulty I've encountered is whenever I run my program, there's an error name 'SmileyFace' is not defined when I believe I've defined it. I need help as to why SmileyFace isn't defined. Thanks

 from tkinter import *

class SmileyFace:
 def __init__(self,righteye,mouth):
 self.righteye=righteye
 self.mouth=mouth


 def smile(self):
 global righteye, mouth
 c.delete(righteye)
 righteye = c.create_oval(225, 125, 275, 175, fill = 'black')
 c.delete(mouth)
 mouth = c.create_arc(125, 225, 275, 275, start = 0, extent = -180, width = 5, fill = "white")

 def sad(self):
 global righteye, mouth
 c.delete(righteye)
 righteye = c.create_oval(225, 125, 275, 175, fill = "black")
 c.delete(mouth)
 mouth = c.create_arc(125, 250, 275, 300, start = 0, extent = 180, width = 5, fill = "white")

 def wink(self):
 global righteye, mouth
 c.delete(righteye)
 righteye = c.create_line(225, 140, 250, 165, 275, 140, width = 5, smooth = "true")
 c.delete(mouth)
 mouth = c.create_line(125, 250, 275, 250, width = 5)

 def grin(self):
 global righteye, mouth
 c.delete(righteye)
 righteye = c.create_oval(225, 125, 275, 175, fill = "black")
 c.delete(mouth)
 mouth = c.create_line(125, 250, 200, 250, 275, 215, width = 5, smooth = "true")

 def main():
 global c
 win = Tk()
 c = Canvas(win, width = 800, height = 800)
 c.pack()

 c.create_oval(100, 100, 350, 350, outline = "black", fill = "yellow")
 eye1 = c.create_oval(125, 125, 175, 175, fill = "black")
 eye2 = c.create_oval(225, 125, 275, 175, fill = "black")
 mouth = c.create_line(125, 250, 275, 250, width = 5)

 Smiley = SmileyFace(righteye,mouth)

 Button(win,text='Smile',command=Smiley.smile).pack
 Button(win, text = "Sad", command = Smiley.sad).pack
 Button(win, text = "Wink", command = Smiley.wink).pack
 Button(win, text = "Grin", command = Smiley.grin).pack
 Button(win, text = "Quit", command = win.destroy).pack

 main()

The only difficulty i've encountered is whenever i run my program,
there's an error name 'SmileyFace' is not defined ...

When I try to run it, after fixing the indentation problems, I get NameError: name 'righteye' is not defined. After fixing that, nothing happens at all when I run it due to a lack of a win.mainloop() at the end. After fixing that, I don't see any buttons due to calls to .pack instead of .pack(). And so on.

You've structured this program poorly. The SmileyFace constructor should have drawn the basic face and saved the right eye and mouth objects as properties instead of trying to deal with them as global variables. Below, I take an even simpler approach which is to use tags to avoid properties and global variables alltogether:

from tkinter import *

class SmileyFace:
 def __init__(self, canvas):
 self.canvas = canvas

 canvas.create_oval(70, 70, 350, 350, fill='yellow')
 canvas.create_oval(125, 125, 175, 175, fill='black', tags='left')
 canvas.create_oval(225, 125, 275, 175, fill='black', tags='right')
 canvas.create_line(125, 250, 275, 250, width=5, tags='mouth')

 def smile(self):
 self.canvas.delete('right||mouth')
 self.canvas.create_oval(225, 125, 275, 175, fill='black', tags='right')
 self.canvas.create_arc(125, 225, 275, 275, extent=-180, width=5, fill='white', tags='mouth')

 def sad(self):
 self.canvas.delete('right||mouth')
 self.canvas.create_oval(225, 125, 275, 175, fill='black', tags='right')
 self.canvas.create_arc(125, 250, 275, 300, extent=180, width=5, fill='white', tags='mouth')

 def wink(self):
 self.canvas.delete('right||mouth')
 self.canvas.create_line(225, 140, 250, 165, 275, 140, width=5, smooth='true', tags='right')
 self.canvas.create_line(125, 250, 275, 250, width=5, tags='mouth')

 def grin(self):
 self.canvas.delete('right||mouth')
 self.canvas.create_oval(225, 125, 275, 175, fill='black', tags='right')
 self.canvas.create_line(125, 250, 200, 250, 275, 215, width=5, smooth='true', tags='mouth')

def main():
 win = Tk()
 canvas = Canvas(win, width=800, height=800)
 canvas.pack()

 smiley = SmileyFace(canvas)

 Button(win, text='Smile', command=smiley.smile).pack()
 Button(win, text='Sad', command=smiley.sad).pack()
 Button(win, text='Wink', command=smiley.wink).pack()
 Button(win, text='Grin', command=smiley.grin).pack()
 Button(win, text='Quit', command=win.destroy).pack()

 win.mainloop()

main()