Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
decide if the given function is continuous at the specific value of x...
 one year ago
 one year ago
decide if the given function is continuous at the specific value of x...
 one year ago
 one year ago

This Question is Closed

haterofmathBest ResponseYou've already chosen the best response.0
\[f(x)= \frac{ 2x4 }{ 3x2 } at x=2\]
 one year ago

helder_edwinBest ResponseYou've already chosen the best response.0
remember the definition: f is continous at x=a if \[ \large \lim_{x\to a}f(x)=f(a) \]
 one year ago

cinarBest ResponseYou've already chosen the best response.1
it is defined at x=2 right
 one year ago

cinarBest ResponseYou've already chosen the best response.1
f(2)=0 \[\large \lim_{x\to 2}f(x)=0=f(2)\]
 one year ago

cinarBest ResponseYou've already chosen the best response.1
and also this is its graph http://www.wolframalpha.com/input/?i=plot+%282x4%29%2F%283x2%29 as you can see the func. is continuous at x=2, no hole no infinity
 one year ago

haterofmathBest ResponseYou've already chosen the best response.0
ok. so if they were ask to list all the value of x for which the given function is not continuous...how would that work? Example: \[f(x)= \frac{ 3x1 }{ 2x6 }\]
 one year ago

cinarBest ResponseYou've already chosen the best response.1
the func. is discontinuous when denominator is 0
 one year ago

cinarBest ResponseYou've already chosen the best response.1
2x6=0 x=3 so, for x=3 the func. is not continuous
 one year ago

haterofmathBest ResponseYou've already chosen the best response.0
and what about the numerator?
 one year ago

cinarBest ResponseYou've already chosen the best response.1
it can be any number, no problem with it.. look at its graph http://www.wolframalpha.com/input/?i=plot+\frac{+3x1+}{+2x6+}
 one year ago

cinarBest ResponseYou've already chosen the best response.1
http://www.wolframalpha.com/input/?i=plot+%283x1%29%2F%282x6+%29
 one year ago

haterofmathBest ResponseYou've already chosen the best response.0
ok, so there's only one value of x?
 one year ago

haterofmathBest ResponseYou've already chosen the best response.0
ok. so how about in this case. f(x) = 3x2 if x<0 x^2+x if \[x \ge0\]
 one year ago

cinarBest ResponseYou've already chosen the best response.1
the func. is not continuous at x=0 why because limit does not exists when we approach to 0, from left limit is 2, from right limit is 0 http://www.wolframalpha.com/input/?i=piecewise+[{{3x2%2Cx%3C0}%2C{x^2%2Bx%2Cx%3E%3D0}}]
 one year ago

cinarBest ResponseYou've already chosen the best response.1
http://www.wolframalpha.com/input/?i=piecewise[{{3x2%2Cx%3C0}%2C{x^2%2Bx%2Cx%3E%3D0}}]
 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.