Continuity : Making a Piecewise Function Continuous

Here we have a piecewise function. We have to find the value for a missing coefficient of one of the functions to make the whole thing into a continuous function.
These problems can be done rather quickly, but a typical college professor would want to see limits and the definition of continuity on an exam ( I would have, at least).

[mechtist]

This helped me solve a problem that I have 5 minutes remaining to solve before the assignment is due. There are not enough words I could use to express my gratitude. I hope you find a $100 bill on the ground every day for the rest of your life.

[saveUyghurs]

what if you have 2 diff. variables, a and b, and 3 functions?

[jennifercooledge]

I missed the class we had on this topic due to a snow storm and this is exactly what I needed!  I honestly think you explained it better than my teacher would have.  Huge thanks!

[vanessaherrera]

I seriously would not have been able to pass any of my math classes without these videos

[SuperWienerDog]

Got me through engineering and now through pharmacy... basic maths in first year pharm and i already forgot what i learned in calc 1 bck in eng. thank you.. ffor my first degree and soon my second lol

[jakenovak]

what if you have variables a and b and 3 functions???

[greatduck]

I know this is a very old video but I happened to find it through google. Is this a skill you are quite good at or is it just a small problem set you are demonstrating. There's a common problem I run into lately where one has to do something like this but with an arbitrary piecewise constant function. Any thoughts on those?

[jonathanhsu]

Thanks patrickJMT saving my butt for my calculus midterm coming up !

[SkyBoxGamer]

you are my saving grace for BC calc! thank you sooo much!

[Czimmy]

You just got me points back on a midterm :)

[caparkove]

How do you do it when both are opened circles? I mean what if both are x>0 and x<0?

[roshelita]

What happens if it gives me an infinite decimal? Should I just round? Please help, I'm desperate.

[HotSssun]

You are awesome, i've been stuck on a prob for a while thank you for your help!

[baseballbabe]

what if you have three functions? like for when x is less or equal to 1, -1 is less than x is less than 1 and x is greater than or equal to 1?? :S

[JohnSmith-zflq]

What about with three instead of two intervals?

[Rndomdoe]

you're amazing!!!! I just did this in school today!! Amazing timing hahaha thank you so much (:

[TheCherry]

thank you so much it's so spot on this was perfect, thanks so much!

[jasminedugal]

how would you solve a problem like "find m and b of an equation that would make this function continuous?"

[jkid]

I was seriously just thinking about how to make a piecewise function continuous!

[JKieKiss]

this is too useful. my tuition should just go to you instead of my