► My Limits & Continuity course: https://www.kristakingmath.com/limits-and-continuity-course

The Intermediate Value Theorem is a continuity theorem that allows you to prove that a function has at least one solution or root in a given interval. Oftentimes it's used to show that a graph crosses the x-axis within a specific interval.

You can use the theorem with either a closed or open interval, but a closed interval is more common.

In order to use the Intermediate Value Theorem, the function has to be continuous (and therefore differentiable) on the interval, including at each endpoint. If this condition is met, and you can choose a value along the y-axis that lies between the values of the function at the endpoints of the given interval, then the Intermediate Value Theorem guarantees that there is a point within the interval that will result in the value you picked when you evaluate the function at the point within the interval.

● ● ● GET EXTRA HELP ● ● ●

If you could use some extra help with your math class, then check out Krista’s website // http://www.kristakingmath.com

● ● ● CONNECT WITH KRISTA ● ● ●

Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com

FACEBOOK // https://www.facebook.com/KristaKingMath

TWITTER // https://twitter.com/KristaKingMath

INSTAGRAM // https://www.instagram.com/kristakingmath/

PINTEREST // https://www.pinterest.com/KristaKingMath/

GOOGLE+ // https://plus.google.com/+Integralcalc/

QUORA // https://www.quora.com/profile/Krista-King

Tagged under: limits continuity, ,continuity,intermediate theorem,calculus,expert,Krista King,educational

Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.

Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip

Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans

1. Students enter a simple code

2. You play the video

3. The students comment

4. You review and reflect

* Whiteboard required for teacher-paced activities

With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.

Quickfire

Carry out a quickfire formative assessment to see what the whole class is thinking

Discuss

Create interactive presentations to spark creativity in class

Team Up

Student teams can create and share collaborative presentations from linked devices

Clip

Turn any public video into a live chat with questions and quizzes

Tried out the canvas response option on @SpiralEducation & it's so awesome! Add text or drawings AND annotate an image! #R10tech

Using @SpiralEducation in class for math review. Student approved! Thumbs up! Thanks.

Absolutely amazing collaboration from year 10 today. 100% engagement and constant smiles from all #lovetsla #spiral

Students show better Interpersonal Writing skills than Speaking via @SpiralEducation Great #data #langchat folks!

Dr Ayla Göl
@iladylayla

A good tool for supporting active #learning.

The Team Up app is unlike anything I have ever seen. You left NOTHING out! So impressed!