We introduce the intermediate value theorem for continuous functions and see how to apply the intermediate value theorem to find the roots of an equation on an interval. The intermediate value theorem states that if f is a continuous function on a closed interval [a,b] then it must take on every value between f(a) and f(b) at some point in the interval. So if N is a number between f(a) and f(b) then there exists c in (a,b) such that f(c) = N. #calculus #apcalculus
Continuous Functions Explained: (coming soon)
The Extreme Value Theorem: • The Extreme Value Theorem | Calculus
Using Intermediate Value Theorem to Find Roots: • Intermediate Value Theorem to Find Ro...
Calculus 1 Exercises playlist: • Calculus 1 Exercises
Calculus 1 playlist: • Calculus 1
◉Textbooks I Like◉
Graph Theory: https://amzn.to/3JHQtZj
Real Analysis: https://amzn.to/3CMdgjI
Abstract Algebra: https://amzn.to/3IjoZaO
Linear Algebra: https://amzn.to/43xAWEz
Proofs and Set Theory: https://amzn.to/367VBXP (available for free online)
Statistics: https://amzn.to/3tsaEER
Discrete Math: https://amzn.to/3qfhoUn
Number Theory: https://amzn.to/3JqpOQd
★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: / wrathofmathlessons
◆ Donate on PayPal: https://www.paypal.me/wrathofmath
Thanks to Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Roslyn Goddard, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, and Shadow Master for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Follow Wrath of Math on...
● Instagram: / wrathofmathedu
● Facebook: / wrathofmath
● Twitter: / wrathofmathedu
My Math Rap channel: / @mathbars2020