Intermediate Value Theorem and Finding Zeros | Calculus 1

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

Join Wrath of Math to get exclusive videos, lecture notes, and more:
   / @wrathofmath  

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  

Get the textbook for this course! https://amzn.to/3PieD1M

★DONATE★
◆ Support Wrath of Math on Patreon:   / wrathofmathlessons  
◆ Donate on PayPal: https://www.paypal.me/wrathofmath

Follow Wrath of Math on...
● Instagram:   / wrathofmathedu  
● TikTok:   / wrathofmathedu  
● X: https://x.com/wrathofmathedu
● Facebook:   / wrathofmath