Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
f(x) x^38/x^24 , x not equal to 2, X not equal to 2
3, x=2
4, x= 2
at which point is the function continuous?
 one year ago
 one year ago
f(x) x^38/x^24 , x not equal to 2, X not equal to 2 3, x=2 4, x= 2 at which point is the function continuous?
 one year ago
 one year ago

This Question is Closed

tcarroll010Best ResponseYou've already chosen the best response.1
2 questions 1) is your equation\[f(x) = \frac{ x ^{3}  8 }{ x ^{2}  4 }\] with x not = 2 or 2? And 2) what do the second 2 lines mean? (3, x=2 and 4, x = 2)?
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.1
Start by factoring the numerator and denominator. Hint: you will then be able to get the common factor of (x2) to cancel.
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.1
What do you get after factoring? Show your work.
 one year ago

roselinBest ResponseYou've already chosen the best response.0
(x2) ( x^2+2x+4)/ (x+2)(x2)
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.1
So, the first line has the restriction of x not = 2 or 2 because the first line is not defined for those 2 values of x. So far, we have a max of 2 points of discontinuity (before going to lines 2 and 3). For line 2, looking at how x2 cancelled out (you did that correctly! Good job!) We DEFINE f(2) = 3 and that is what the "factored out" equation would have given, so the overall function IS continuous at x=2. This leaves line 3 and x = 2 as the only possible point of discontinuity. The "factored out" equation would give 4/0, so the overall function is discontinuous only at x = 2.
 one year ago

tcarroll010Best ResponseYou've already chosen the best response.1
You're welcome! Medals are nice.
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.