1. Estimate the zero of f(x) = 3x3 + 5x + 2x + 1 using Newton's...

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