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Polynomial Functions

Problems

Graphing Higher Degree Polynomials

Long Division of Polynomials

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

As xâÜ’âàû , f (x)âÜ’âàû , and as xâÜ’ - âàû , f (x)âÜ’âàû .

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

As xâÜ’âàû , f (x)âÜ’âàû , and as xâÜ’ - âàû , f (x)âÜ’ - âàû .

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

As xâÜ’âàû , f (x)âÜ’ - âàû , and as xâÜ’ - âàû , f (x)âÜ’âàû .

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

As xâÜ’âàû , f (x)âÜ’ - âàû , and as xâÜ’ - âàû , f (x)âÜ’ - âàû .

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.

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