Go Premium for a chance to win a PS4. Enter to Win

x
?
Solved

Homework Partial Lab - Calculus

Posted on 2013-06-16
7
Medium Priority
?
312 Views
Last Modified: 2013-06-17
Hello Experts,

This is a little different question, but I am hoping someone can help anyway.  I need an answer for the first two questions on my calculus lab.  I understand the other problems, but these on continuity seem to be giving me a headache....  If you can answer, please explain with your response.

Thanks in advance!

aj95
CCI06162013-0000.jpg
0
Comment
Question by:aj85
  • 4
  • 3
7 Comments
 
LVL 37

Expert Comment

by:TommySzalapski
ID: 39252224
For problem 1, a closed circle means the function is defined there and an open circle means it is not. So if an x value has a closed and open circle in the y axis, the answer is the value at the closed circle. If there is an open circle only, then the function is not defined there.

For limits, the open circles can be the value, but only if there is just one possible answer. Closed or open makes no difference for the limits.

If that makes sense, great. If you are still not sure, post what you get and we can confirm.
0
 

Author Comment

by:aj85
ID: 39252229
Hello,

Thanks for the quick reply.  So for f(-2)  the answer is 1?
0
 
LVL 37

Expert Comment

by:TommySzalapski
ID: 39252233
You mean f(-1)? f(-2) looks like it's right where it's crossing at 0.
0
Concerto's Cloud Advisory Services

Want to avoid the missteps to gaining all the benefits of the cloud? Learn more about the different assessment options from our Cloud Advisory team.

 

Author Comment

by:aj85
ID: 39252241
Okay I guess that is where I am confused, as on the graph of f, the point looks like it is (-1).  Can you tell me how you are getting 0?

Thanks.
0
 
LVL 37

Expert Comment

by:TommySzalapski
ID: 39252251
Yes. There is a closed circle at x=-1 and y=1. So f(-1) = 1.
But you asked about f(-2). When x is -2, what is y?
0
 
LVL 37

Accepted Solution

by:
TommySzalapski earned 2000 total points
ID: 39252259
Well, I'm off to bed, but remember these points:

Closed circle (or line) means the function has an actual value at that point. So part 1 should be pretty easy.

The limit is what the points on both sides are approaching as x approaches the point.
If the left side is approaching one number and the right side is approaching a different number, the limit does not exist. If they are approaching the same number, that's the limit.
The actual value at the point doesn't matter for limits. At all.

Hope that's all you need.
0
 

Author Closing Comment

by:aj85
ID: 39254716
Thanks for the quick help.
0

Featured Post

Free Tool: Subnet Calculator

The subnet calculator helps you design networks by taking an IP address and network mask and returning information such as network, broadcast address, and host range.

One of a set of tools we're offering as a way of saying thank you for being a part of the community.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Digital marketing agencies have encountered both the opportunities and difficulties that emerge from working with a wide-ranging organizations.
This article covers the basics of data encryption, what it is, how it works, and why it's important. If you've ever wondered what goes on when you "encrypt" data, you can look here to build a good foundation for your personal learning.
Where to go on the main page to find the job listings. How to apply to a job that you are interested in from the list that is featured on our Careers page.
This is a video describing the growing solar energy use in Utah. This is a topic that greatly interests me and so I decided to produce a video about it.
Suggested Courses

916 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question