1. Consider a function f(x) = x² + x² 3 2 4x - 4. (a) Compute the minimum number of iterations required to find the root within the interval [-10, -1.5] if the machine epsilon(error bound) is 1 x 10^-2. (b) Show 5 iterations using the Bisection Method to find the root of the above function within the interval [-10, -1.5]. (c) State the exact roots of f(x) and construct two different fixed point functions g(x) such that f(x) = 0. (d) Compute the convergence rate of each fixed point function g(x) obtained in the previous part, and state which root it is converging to or diverging.

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