Solutions To Mathematics Textbooks/Calculus Early Transcendentals (6th) (0495011665)/Chapter 1.2

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9Edit

  is a cubic, so must be of the form  .


Therefore,  , so now  


Looking at other values:

 

 

 


Try to solve simulatenously:

 

 , thus  .

 

 , thus  .


Thus,

 

 

Solve simultaneous equation:

 

  therefore  .


If   then:

 , thus  .


Therefore, we have   and our function is given by  .