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Polynomial Functions


Problems

Problem : Predict the end behavior of f (x) = x 4 - x 3 + 2 .


Problem : Predict the end behavior of f (x) = x 3 - 1 .


Problem : Predict the end behavior of f (x) = - 2x 13 - 7x 10 + x 6 -3x 4 + - 14x + 34 .


Problem : Predict the end behavior of f (x) = - 3x 2 - x + 1 .


Problem : f (x) = x 3 -2x 2 - 5x + 6 has roots at x = { -2, 1, 3} . Sketch the function by predicting its end behavior and testing the value of the function at x-values between the roots.