What are the roles of the cubic coefficient, b, and the linear coefficient, d, on the graph? Graph y1, = x4 − 2x3, y2 = x4 − 2x3 + 3x, y3= x4 − 4x, y4 = x4 + 4x3, and y5 = x4 + 4x. Based on your graphs, how do the various values of b and d affect the graph?
The general form of a quartic equation is f(x) = ax4 + bx3 + cx2 + dx + e. The graph may be a U-shape similar to a parabola or a W-shape. Let explore the roles of the coefficients a, b, c, d, and e on the graph.
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