Discontinuity Help | Get Answers Now

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Homework Help Overview

The discussion revolves around understanding discontinuities in a mathematical context, specifically focusing on identifying types of discontinuities from a graph and interpreting related questions. The original poster seeks assistance with a homework problem related to limits and discontinuities.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the types of discontinuities, including jumps, removable singularities, and cusps. There is an exploration of specific points on the graph where discontinuities may occur, as well as questions about the interpretation of the homework prompt regarding the range of discontinuities.

Discussion Status

The conversation has progressed with some participants providing guidance on identifying discontinuities and clarifying the homework requirements. There is an acknowledgment of correct answers regarding specific limits and points of discontinuity, but some questions remain about the interpretation of the problem.

Contextual Notes

Participants mention constraints related to the format of the homework submission, including the need to identify discontinuities within a specified range of values. There is also a discussion about the original poster's access to the problem, which is currently in a word document format.

madeeeeee
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I've attached the page that I need help with
Thank you
 

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I would suggest you scan it and post the image here. Many viewers here will not spend the time or take the risk of opening a possibly virus laden word document.
 
But i have it saved in a word document and i don't have a scanner. There is no viruses. I just need help on the question.
 
This actually belongs to the homework help forum... This isn't the place for such a posts.

Now, I'm happy to help you. What did you already try to solve the problems? You can start of by searching in your book what exactly a discontinuity is and what exactly the three different types are. Once you've done that and you still don't know, then come back here...
 
But for now, I can already tell you that those two limits are correct!
 
ok is e correct?
A Jump is when you need to pick your pencil up while your tracing the line. Removable is when there is a hole between a line and Infinite is like having an asymptote but i don't think i need to worry about that one because the graph clearly doesn't have that one. There is also two cusps which means the limit does not exist. my confusion starts with the wording of the questions a and b i just don't understand where i am looking to find the discontinuities and if it wants me to state all of them. how i should state that.
 
First of all, limits do exist in cusps! only derivatives don't.

Now, do you see any jumps on your graph? Try to draw the graph with you pencil, where do you need to lift your pencil up?
 
at x= 0 and x= 3
 
Correct, these are the jumps.

Now the removable singularities, do you see any holes in your functions? Places were the function is not defined?
 
  • #10
at (0, 4), (3, 2), and (7, -1)
 
  • #11
Yes, that is the correct answer! :cool:
 
  • #12
sweet, so i get everything now, thanks to you :) but for question a what does it mean when it says find it between (-8, 12) i just don't get that
 
  • #13
Well, it says that every discontinuity you find must be between -8 and 12. For example, saying that -50 is a discontinuity is not allowed (which makes sense, since you're only given the graph from -9 to 12, so you can't see any othe value).
Just ignore it :smile:
 
  • #14
Thank you so much for your help. I really appreciate it.
 
  • #15
sorry i need to ask one for thing, were c, d, and e all correct ?
 
  • #16
d and e are correct. c is not...
 
  • #17
oh... limit does not exist
 
  • #18
indeed!
 

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