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(d) Find

         (e) Sketch the graph of the polynomial in part (d).  , and let  be the function defined by the

     Let , , and be distinct real numbers such that
21. formula

(a) Show that T is a linear transformation.
(b) Show that T is one-to-one.
(c) Verify that if , , and are any real numbers, then

     where

(d) What relationship exists between the graph of the function
     and the points , , and ?
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