 page 10, "Finally ... Functions"
Functions  
Functions are dependable  sophisticated operations or sequences of operations given a special name because they are used so often and because each specific argument yields the same answer, a unique answer, each time the function operates. The arguments are in the function's domain. The arithmetic operations in the left column below are functions in their role in precalculus. Most of these functions have already been examined. Others are found on the Functions and Operations Page. Still others are listed on the right. Still others exist but aren't even listed. 

So. As promised, the most sophisticated has top priority. Now, the Order of Operations is:
Restated it's: Functions, Parentheses first, next Roots or Exponents, then Multiply or Divide (left to righ) then Add or Subtract (left to right): Finally Please, Readily Excuse, My Dear Aunt Sally.  
Functions: NAMED OPERATIONS Performed on ARGUMENTS from a DOMAIN 

Three ideas  NAMED, OPERATIONS, ARGUMENTS  were introduced in the above working definition of functions.
An other idea  DOMAIN  stratefies the sophistication of the user. Parents don't tell children everything about life. Teachers don't tell students everything about the domains of functions. Reconsider the functions listed above and the specifics listed here about the functions. Also:


 
© 2005, Agnes Azzolino www.mathnstuff.com/math/spoken/here/2class/80/c80j.htm 