Intermediate Value Theorem

This calculus video tutorial provides a basic introduction into the intermediate value theorem. It explains how to find the zeros of the function such that c is between a and b on the interval [a, b]. This video contains plenty of examples and practice problems.

Introduction to Limits:

How To Evaluate Limits From a Graph:

Evaluating Limits By Factoring:

Limits of Rational Functions :

Limits of Radical Functions:

Limits of Trigonometric Functions:

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How To Find The Limit at Infinity:

Infinite Limits + Vertical Asymptotes:

Limits at Infinity With Radicals:

Limits of Absolute Value Functions:

Limits of Composite Functions:

The Squeeze Theorem:

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Limits and Logarithms:

Limits of Exponential Functions:

Piecewise Functions - Limits:

3 Step Continuity Test:

Continuity and Differentiability:

Limits - Test Review:

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Final Exams and Video Playlists:

Full-Length Videos and Worksheets:

[mariamibrahim]

I never comment to anyone’s videos, but seriously you’re the absolute best! God bless you

[Gravityys]

You my friend are what we call a lifesaver.

[georgesadler]

MR. Organic Chemistry Tutor, this is a fantastic video/lecture on the Intermediate Value Theorem in Calculus. This is another important theorem in Mathematics.

[aboodahmed]

Thank you soo much, I appreciate this useful and understandable videos ❤

[dibbyabarua]

TOCT... you are the BEST!!! All of your videos are pretty well explained and easily understandable!!! :D :D :D Thanks a lot! Keep this up man!

[padminicmenon]

Thank u I have been searching for IVT for my xams. After 3 days I hav maths xam 😅😅😅😂😂 . Thank u for uploading. I really don't understand when my teacher takes class. But by watching Ur video for one time I am able to understand the concepts. Thank u once again❤❤❤

[cuneiformed]

Since it was asked in these comments like a year ago the way to solving the first problem is by using Cardano’s Method

[shpoof]

Thank you! This is very helpful, I have a calc exam in a few hours 😅

[mutaeb]

Why do we need to calculate the interval (i.e. [0, 3] ) if we were given the f(c) value? must it be between f(0) and f(3)? and thanks for the explaining you are AWESOME

[khalolyyan]

On the first example, sign change with indicate that there is a root because it crosses the x axis.. awsome video! Thank you

[sarahlolo]

What if we’re not given an interval only the equation and asked to find if a root exists

[dalya.mohammed]

Thank you so much 💙💙💙💙 best Teacher 💎💎💎💎💎💎💎💎💎💎

[Gg-bnvz]

what if the teacher does not give you an interval? how do you find the interval yourself?

[LuyandaMkhwanazi-cb]

thank you so much your videos made me understand better

[michaelkeller]

The Organic Chemist strikes again! Mucho gracias.

[jameswindolf]

know what NOT the answer is for the first example. The NOT answer is What IS the answer?!

[LafErrari]

Hey, so on the third example, how did you get (x-2)(2x+1)?

[Full]

How do you solve X^3+4x-2=0 like in the first example?

[aleksandarristoski]

I have a question. In the first example f(x)=x^3+4x-2 where we have [0, 2] where a=0, b=0. So we get f(0)= -2 and f(2) = 14 . Right. So we try to find "c" where f(a)<f(c)<f(b) --> f(0)<f(c)<f(2) .

So "c" could be equal to 1. Why? Because 1 is in the interval [0, 2] and also f(1) = 3 --> -2<3<14 ? Why didn't this happen? Thank you for you help :)

[thewhat]

Wait shouldn't it be -1 <= K <= 29 since it's included in the interval?