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 Theo...
Using Intermediate Value Theorem to Find Roots: • Intermediate Value The...
Calculus 1 Exercises playlist: • Calculus 1 Exercises
Calculus 1 playlist: • Calculus 1
Get the textbook for this course! amzn.to/3PieD1M
★DONATE★
◆ Support Wrath of Math on Patreon: / wrathofmathlessons
◆ Donate on PayPal: www.paypal.me/...
Follow Wrath of Math on...
● Instagram: / wrathofmathedu
● TikTok: / wrathofmathedu
● X: x.com/wrathofm...
● Facebook: / wrathofmath

[@WrathofMath]

Support this course by joining Wrath of Math to access exclusive and early Calculus videos, original music, plus lecture notes at the premium tier! kzbin.info/door/yEKvaxi8mt9FMc62MHcliwjoin Calculus 1 Exercises playlist: kzbin.info/aero/PLztBpqftvzxUEqGGgvL3EuIQUNcAdmVhx Calculus 1 playlist: kzbin.info/aero/PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJy

[@olivia_chen]

thank you, it helped me a lot.

[@WrathofMath]

Glad it helped!

[@lemonlover5011]

thank you, great job!

[@WrathofMath]

Thank you! I actually just recorded a video doing a basic IVT problem, here is an early link if it is of interest to you: kzbin.info/www/bejne/aqqWh3hqg717ps0

[@CarlJohnson-n6i]

Thanks

[@that1cr33p]

Does the function need to be differentiable between a and b?

[@WrathofMath]

Nope!

[@cheaire]

frog

[@WrathofMath]

I'm very pro-frog

[@noureddinesaaidia4471]

thanks

[@WrathofMath]

Glad to help- thanks for watching!