Intermediate Value Theorem + Example on Proving a Root Exists

in MES Science2 years ago

In this video I go over what the intermediate value theorem is and show how it can be used to prove if a root of a function exists in any given interval.


Watch video on:

Download video notes: https://1drv.ms/b/s!As32ynv0LoaIiMZ7g5CHVv47JpAbog?e=YktjlZ


View Video Notes Below!


Download these notes: Link is in video description.
View these notes as an article: https://peakd.com/@mes
Subscribe via email: http://mes.fm/subscribe
Donate! :) https://mes.fm/donate
Buy MES merchandise! https://mes.fm/store

Reuse of my videos:

  • Feel free to make use of / re-upload / monetize my videos as long as you provide a link to the original video.

Fight back against censorship:

  • Bookmark sites/channels/accounts and check periodically
  • Remember to always archive website pages in case they get deleted/changed.

Buy "Where Did The Towers Go?" by Dr. Judy Wood: https://mes.fm/judywoodbook
Subscribe to MES Truth: https://mes.fm/truth

Join my forums!

Follow along my epic video series:


NOTE #1: If you don't have time to watch this whole video:

Browser extension recommendations:


Intermediate Value Theorem: Plus an Example on Proving Roots of an Equation

Intermediate Value Theorem  Finding Roots.jpg

Intermediate Value Theorem:

Suppose that f is continuous on the closed interval [a, b] and let N be any number between f(a) and f(b), where f(a) ≠ f(b). Then there exists a number c in (a, b) such that f(c) = N.

image.png

Example

Show that there is a root of the equation between x = 1 and x = 2:

4x3 – 6x2 + 3x – 2 = 0

Solution:

image.png

image.png

image.png

Sort: