Example 15:


Example 15: Define the real valued function  f :   R - o R   defined   by   f x = 1 x ,   x R - 0 . Complete the Table given below using this definition. What is the domain and range of this function ?

 
x -2 -1.5 -1 -0.5 0.25 0.5 1 1.5 2

y = 1 x
... ... ... ... ... ... ... ... ...

Dear student
The completed table is given by :
x -2 -1.5 -1 -0.5 0.25 0.5 1 1.5 2
y=1/x -0.5 -0.67 -1 -2 4 2 1 0.67 0.5
The domain is all real numbers  except 0 and its range  is also all real numbers except 0.The graph of f is given below:

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