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 .