Numerical Analysis/Bisection Method Quiz

{2 and 4 such that f(2) = 4 and f(4) = 16 are appropriate initial points for the bisection method. - TRUE + FALSE
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 * The bisection method requires two initial points a and b such that f(a) and f(b) have opposite signs.

{We decide that 2 such that f(2) = 8 will be one of our initial points. Which of the following are appropriate choices for the second point? + -3 such that f(-3) = -27 - 1 such that f(1) = 1 + -1 such that f(-1) = -1 - 3 such that f(3) = 27
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{The function on which we want to use the bisection method must be continuous on the interval we choose. + TRUE - FALSE
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{After applying one iteration, by how much did our interval that might contain a zero of f decrease? - Almost half - More than half + 50%
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{The bisection method has... + linear convergence. - quadratic convergence. - cubic convergence.
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 * The absolute error halves at each step.