Consider the following points. (-1, 7), (0, 0), (1, 1), (4, 58) (a) Determine the polynomial function of least degree whose graph passes through the given points. p(x) = (b) Sketch the graph of the polynomial function, showing the given points. y 60 50 40 -1 -1 30 20 10 y 80 60 40 20 1 1 2 2 3 3 4 4 X -20 y -40 -60 -80- y -10 -20 -30 - 40 -50 -60 1 2 3 3 4 4 X X

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