Evaluating a Piecewise Defined Function

In this short video, we go through an example of how to evaluate a piecewise defined function.

[@mainzahanene3614]

Thank you this is the only video that made me understand the last concept 😌

[@israelcastillo3535]

Thank you so much! I was struggling with this in my pre calculus class today cause my teacher talked too fast! This REALLY helped me! thank you so much!

[@tomg828]

I am glad that you found it helpful! Thanks!

[@gueenvictoria64]

Thanks so much! I was stuck on this and could not understand it BUT i do now. Thanks to you explaining it and your video! Great JOB 👍

[@alipunga4894]

THANK YOU! MAY YOU HAVE MILLIONS OF DOLLARS IN THE NEAR FUTURE

[@chavelycereijo3681]

Thank youuu!!! Este es el único vídeo que me ha hecho entender

[@crystalmoon7063]

Thank you so much! Your handwriting is so nice!

[@Lifeofanniesilva]

I didn’t get the particular 7 formula and this helped so much! Thank you. I feel silly now!

[@silbiagonzalez4311]

Thank you!!!! I was learning this concept and did not get it. It's a piece of cake!

[@taylorbavender9915]

A life saver!!!

[@arionnalovett4018]

Thank you so much

[@sjb9898]

Thanks alot!!!

[@mirraaa.w]

Great job explaining

[@juanperez-bp6lc]

You are the best!!

[@Ahtohallan.]

Thank you

[@cherrielee144]

Thank you so much! Great job!

[@maryrose9856]

Thank you for this!

[@jamesmenza2990]

Thank you so much.it is now clear to me

[@woocheckitout]

How do you chose the values you want to test? Also how do you when the function is discontinuous?

[@tomg828]

For the video, I just chose random values for each of the different formulas to show how that would work. It sounds like you might be asking about how to determine where a piecewise function is discontinuous. For many problems of that type, you would check the numbers where the function definition changes. For example, for the function in the video, you should check to see if the function is continuous at 4 and 6.

[@woocheckitout]

@@tomg828 Great thank you so much for all your help and the amazing video!

[@moisegodson581]

Very helpful 🥺

[@sielustre]

Thank you this helped me alot!

[@clschirm4]

Thank you thank you thank you for helping

[@savannahgibbs2719]

pov: your teacher sent you this but you are still confused

[@tomg828]

What can I help you with?

[@ayoitsahmedomfs3826]

Same lol

[@makelg584]

thanks!!

[@taiwoakin3651]

thx!

[@moontm5879]

Actully i answered this question in5minites anyway thanks

[@juliet8314]

Please I actually like your teaching but a little bit confused on how you got the 36 bc 5 * 6 is 30 than 5 - 36 is -31

[@juliet8314]

I mean then 5-36 is -31

[@tomg828]

Juliet Adinnu the order of operations says that you must square the six first, so 6^2 = 6 * 6 = 36. Then do 5 - 36 = -31

[@tomg828]

Juliet Adinnu 5 - 6^2 = 5 - 36 = -31

[@juliet8314]

Hoo thanks Tom g I appreciate

[@stephanieandrada1644]

How did you get x=25

[@tomg828]

For f(25), you check the conditions to see which one works for 25. It is the last one, x > 6 because if you plug in 25 for x in x > 6, you get 25 > 6 which is true. So you would use the formula that is paired up with the condition x > 6 which is just 7. Notice how there is no x to plug the 25 into, so the output would just be the number 7.

[@arslanaslam8654]

Hi Sir
U are amazing.
I've a question.
reply fast plz
f(t) = {1,t>0 & t≠1,t≠2;
2,t=1;
3,t=2

[@tomg828]

Hi Arslan. I am not quite sure what you are asking. Is there another part to your question?

[@arslanaslam8654]

I wanna apply Laplace Transform.
and to do this I have to get integrals with specific limit.
and i need limit from this function

[@erinh3668]

Thank you for this video!

[@tomg828]

Glad to help!

[@iL0v3Neonpink]

thanks!!