POLYNOMIAL FUNCTIONS1. Graph each of the functions below and complete the chart.Equation Sign of Leading CoefficientDegree of Polynomial# of Turning PointsEnd Behavior as x approachesinfinityEnd Behavior as x approaches negative infinity4 3 20.5 5 3 6y x x x x 4 24 9 2y x x 40.4 9y x 3 23 5 3 5y x x x 3 20.5 3 2 12y x x x 2. Suppose a polynomial function has degree n and leading coefficient c. Complete the following statements. A. The number of turning points is at most__________. B. If n is odd and c>0, then y approaches __________ as x approaches infinity and y approaches __________ as x approaches negative infinity. C. If n is odd and c<0, then y approaches __________ as x approaches infinity and y approaches __________ as x approaches negative infinity. D. If n is even and c>0, then y approaches __________ as x approaches infinity and y approaches __________ as x approaches negative infinity. E. If n is even and c<0, then y approaches __________ as x approaches infinity and y approaches __________ as x approaches negative infinity.3. Are the statements you completed in problem 2 consistent with what you know about quadratic functions? Explain why or why not.4. Are the statements you completed in problem 2 consistent with what you know about linear functions? Explain why or why not.5. Are the statements you completed in problem 2 consistent with 5 4 3 213 13 36 36y x x x x x ? Hint: use the window [-4,4]x[-60,40].6. Use the graphs below to answer the following: A. lowest possible degree_____ B. sign of the leading coefficient_____ C. number of zeros _____ D. number of turning points _____ A. lowest possible degree_____ B. sign of the leading coefficient_____ C. number of zeros _____ D. number of turning points _____-6-4-20246-2.5 -1.5 -0.5 0.5 1.5 2.5-20-1001020-2.5 -2 -1.5 -1 -0.5 0 0.5 1 1.5 2 2.5 3
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