Question

You are asked to solve a nonlinear equation f(x)=0 on the interval [4,7] using bisection. Tick ALL of the following that are true:

-This iterative method requires one starting point.
-This iterative method requires two starting points.
-This iterative method requires evaluation of derivatives of f.
-This iterative method does not require evaluation of derivatives of f.
-This iterative method requires the starting point(s) to be close to a simple root.
-This iterative method does not require the starting point(s) to be close to a simple root.

Answer 1

Bisection method requires one starting point, does not require evaluation of derivatives of f, and does not require the starting point to be close to a simple root.

Step-by-step explanation:

When solving a nonlinear equation using bisection, this iterative method requires one starting point. Bisection works by repeatedly dividing the interval into two halves and narrowing down the range where the root lies. It does not require evaluation of derivatives of f and also does not require the starting point(s) to be close to a simple root.