3. Numerical Methods I

Root-finding Methods — Quiz

Test your understanding of root-finding methods with 5 practice questions.

Practice Questions

Question 1

In root-finding, what is the main task?

Question 2

Which method repeatedly halves an interval that contains a sign change?

Question 3

Which method uses the slope of the tangent line at the current estimate to generate the next estimate?

Question 4

If $f(a)$ and $f(b)$ have opposite signs and $f$ is continuous on $[a,b]$, what can be concluded?

Question 5

Which method is based on using two recent approximations to estimate the next root without using derivatives?