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Relations and Functions Worksheet

Relations and Functions Worksheet
  • 1. The relation R on R defined as R = (m, n): m ≤ n, then the relation is?
    1. Reflexive, symmetric and transitive
    2. Reflexive but neither symmetric nor transitive
    3. Reflexive and transitive but not symmetric
    4. None
  • 2. The relation R on R defined as R = (m, n): and the condition is m ≥ n, then the relation is?
    1. Reflexive, symmetric and transitive
    2. Reflexive but neither symmetric nor transitive
    3. Reflexive and transitive but not symmetric
    4. None
  • 3. Show that the relation ‘R’ on the set ‘R’ of all the real numbers, defined as
      R = (p, q): p ≥ q2 then relation ‘R’ is?
    1. Reflexive, symmetric and transitive
    2. Neither reflexive nor symmetric nor transitive
    3. Reflexive and transitive but not symmetric
    4. None
  • 4. If there are three relations R1, R2 are defined on set U = x, y, z as follows.
    R1 = (x, x), (y, y), (x, z), (y, y), (y, z), (z, x), (z, y), (z, z);
    R2 = (x, y), (y, x), (x, z), (z, x),
    Then the relations R1, R2 are?
    1. Reflexive, symmetric and transitive
    2. Reflexive, neither symmetric nor transitive
    3. Not reflexive but symmetric and transitive
    4. None
  • 5. Show that the relation ‘R’ on set ‘S’ = 10, 11, 12 is given by: R = (10, 10), (11, 11), (12, 12), (10, 11), (11, 12) then the relation is?
    1. Reflexive, symmetric and transitive
    2. Reflexive but neither symmetric nor transitive
    3. Not reflexive but symmetric and transitive
    4. None
  • 6. In the given table use the rules and fill the given table:
     
                       Subtract 9
    Input (x) Output (y)
        11  
          15  
          18  
          20  
          22  
     
    1. 2, 6, 9, 11, 13
    2. 1, 2, 5, 6, 0
    3. 9, 8, 1, 0, 0
    4. None
  • 7. In the given table use the rules and fill the given table?
     
                       add 10
    Input (x) Output (y)
        12  
          16  
          18  
          21  
          23  

    1. 2, 6, 9, 11, 13
    2. 1, 2, 5, 6, 0
    3. 22, 26, 28, 31, 33
    4. None
  • 8. In the given table use the rules and fill the given table?
     
                       multiply 11
    Input (x) Output (y)
        12  
          16  
          18  
          21  
          23  

    1. 2, 6, 9, 11, 13
    2. 132, 176, 198, 231, 253
    3. 9, 8, 1, 0, 0
    4. None
  • 9. In the given table use the rule and fill the given table?
     
                       Divide 5
    Input (x) Output (y)
        10  
          15  
          20  
          30  
          100  

    1. 2, 6, 9, 11, 13
    2. 1, 2, 5, 6, 0
    3. 2, 3, 4, 6, 20
  • 10. In the given table use the rule and fill the given table?
     
                       Divide 2.5
    Input (x) Output (y)
        16  
          23  
          29  
          50  
          80  

    1. 2, 6, 9, 11.5, 13
    2. 1, 2, 5, 6, 0
    3. 2.1, 3, 0, 6.5, 20
    4. None
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