2. Root-Finding I

Bisection Method — Quiz

Test your understanding of bisection method with 5 practice questions.

Practice Questions

Question 1

What condition must be satisfied on an interval $[a,b]$ before the Bisection method can be used to search for a root?

Question 2

What is the midpoint of the interval $[2,6]$?

Question 3

Let $f(x) = x^2 - 4$ on the interval $[0,3]$. After one bisection step, which subinterval contains a root?

Question 4

What happens to the interval length after each Bisection method step?

Question 5

If the initial interval length is $8$, what is the interval length after $3$ bisections?