Lesson #4
Functions / Domain


Quote of the Day: 
     "Old math teachers never die –- they just lose their functions."

Objectives:
	The student will learn the definition of a function and be able to 
         	identify functions and relations.

        The student will be able to use functional notation and compute the 
		values of composite functions.

	The student will be able to determine domain and range of a given 
		function.

1. Collect Homework Assignment.
2. Learning Calculus

3. Functions / Domain and Range 
     Concept – (1) If you drop a water balloon on your     
                   calculus teacher's head,
                   the distance that the balloon travels is     
                   a function of time.
               (2) The number of games that the San Antonio 
                   Spurs win is a function of how well Tim 
                   Duncan does.
               (3) The ASCII codes represent a function: 
                   For every integer from 0 to 255, there 
                   exists a unique character assigned to     
                   it.
                         32 --> space
                         65 --> 'A'   
                         67 --> 'C'

     Definition of a function:
        A function is a set of ordered pairs (x, y) such 
         that to each value of x, there corresponds a 
         unique value of y.
        The set of x-coordinates (independent variable) is 
           called the domain.
        The set of y-coordinates (dependent variable) is 
           called the range.

4. Functional Notation
       
5. Determining Domain and Range
       
       

6. Song -- "Domain on the Range"


7. Assignment:
      Read pages 7 -11.
      p. 11 Quick Check Exercises (1 - 5)         
      p. 12 (1, 2, 3, 4, 5, 7, 9a, 10a, 11, 12, 17, 18, 19)
      Work on Mini Exam Review Sheet 
        Algebra Atrocities

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