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

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  is a cubic, so must be of the form  .

Therefore,  , so now  

Looking at other values:




Try to solve simulatenously:


 , thus  .


 , thus  .




Solve simultaneous equation:


  therefore  .

If   then:

 , thus  .

Therefore, we have   and our function is given by  .