Question: In Desmos, graph the derivative function y = x 2 + 1 ( x + 1 ) 2 . Then graph its antiderivative so that

  • In Desmos, graph the derivative function y=x2+1(x+1)2. Then graph its antiderivative so that the maximum value of the antiderivative function is twice as great as the maximum value of y=x2+12x+1.
  • Using the graph of the antiderivative function, estimate the y-intercept and the end value of the function (asx+ ).
  • Interpret the y-intercept and the end behavior of the antiderivative function in the context of y=x2+1(x+1)2.

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