Assignment 1. Estimate the zero of f (x) = 3x3 + 5x2 + 2x + 1 using Newton's method with three iterations starting at x1 = 1. Use graphing technology to determine the value of the zero, and show the error between the estimated value and the graphed value. Let g be a twice-differentiable function with 9(1) = 7 and g(7) = 1 and let f(x) = g(g(x)). a) Justify whythere must be a value c, where 1