Numerical Analysis/Bisection Method Quiz

1

2 and 4 such that f(2) = 4 and f(4) = 16 are appropriate initial points for the bisection method.

	TRUE
	FALSE

2

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

3

The function on which we want to use the bisection method must be continuous on the interval we choose.

	TRUE
	FALSE

4

After applying one iteration, by how much did our interval that might contain a zero of f decrease?

	Almost half
	More than half
	50%

5

The bisection method has...

	linear convergence.
	quadratic convergence.
	cubic convergence.