1. Lesson 4

1.4. Discover

Mathematics 20-1 Module 7

Module 7: Absolute Value and Reciprocal Functions

 

Discover
 

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Try This 1

 

Part A: Special Reciprocals

  1. Determine the reciprocal of the number in each case.

     
    Number Reciprocal
    1  
    −1  
    0  


  2. What do you notice about the reciprocals of 1 and −1?

  3. Give reasoning to justify your response for the reciprocal of zero.

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Part B: Trends in Reciprocals

  1. Determine the reciprocals of each of the following numbers.

     
    Number Reciprocal
    2  

    3

    		  
    5  
    10  
    20  
    50  
    100  


  2. As you move down the “Number” column, how do the numbers change?

  3. As you move down the “Reciprocal” column, how do the numbers change?

  4. Complete this sentence:

    As a set of numbers increases, the corresponding reciprocals _____________.

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You will use the principles that you have discovered here to support concepts that you will learn later in the lesson.