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roselin
Group Title
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
roselin Group Title
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

tcarroll010 Group TitleBest 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

roselin Group TitleBest ResponseYou've already chosen the best response.0
dw:1351367741430:dw
 one year ago

roselin Group TitleBest ResponseYou've already chosen the best response.0
dw:1351367907016:dw
 one year ago

tcarroll010 Group TitleBest 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

tcarroll010 Group TitleBest ResponseYou've already chosen the best response.1
What do you get after factoring? Show your work.
 one year ago

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

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

tcarroll010 Group TitleBest 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

roselin Group TitleBest ResponseYou've already chosen the best response.0
okay,thanks a lot.
 one year ago

tcarroll010 Group TitleBest ResponseYou've already chosen the best response.1
You're welcome! Medals are nice.
 one year ago
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