The polynomial function f(x) = x² – 3x – 5 has two real zeros. |- (A) Determine (without iterating) which of the two roots will the fixed point iteration using g(x) = -, will converge to assuming a sufficiently close initial guess. Explain why the fixed point will converge to one solution but not the other. (B) For the convergent case, explain whether this fixed point iteration will converge faster or slower than the bisection method.

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.