Lesson #40 Inverse Functions

Quote of the Day: 
"Numerical precision is the very soul of science."
    -- Sir D'Arcy Wentworth Thompson

Objectives:
    The student will write the inverse function of a given function.


1. Hand back and go over the tests on chapter 3.

2. Hand out Sheets on Being Successful in Calculus

3. Discuss inverse functions again.
   Examples:
  
      y = 3x
        
         
    Graph on the axes and show their relationship.
 

4. Play game: Guess my number.

	Example:
		I am thinking of a number between 1 and 100.
		If I double my number,
             then add 14 to it,
             then take the square root of it,
             and finally divide it by 6,
          I get 1.
          What is my number?
                  
          Do INVERSE operations to get the answer: 11.  
          
     Have different students give the four operations.
       
     Another Example (to lead into logs and exponentials):   
		I am thinking of a number between 1 and 100.
		If I take the log of my number (to the base 10),
             then add 7 to it,
             then divide by 3,
             and finally square it,
          I get 7.111111...
          What is my number?
         
           My number was 10.  


5. Assignment: 
     p. 233 (1, 13, 14, 16, 17)

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