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Gebroken functie

English translation: discontinuous function

09:22 Jan 19, 2011
Dutch to English translations [PRO]
Science - Mathematics & Statistics / Maths
Dutch term or phrase: Gebroken functie
This is from a maths exam so there is no real context, just equations.
Just as a guide the exam question is:
Toon langs algebraïsche weg aan dat de toppen inderdaad op een hyperbool
met vergelijking xy=c liggen en bereken de waarde van c.
Is it as simple as "Broken function"? Discontinuous function or hyperbolic function perhaps.
All ideas appreciated. Thanks

Gebroken functie --> Een functie waarbij de variabele onder de breukstreep staat. De grafieken die eruit komen heten hyperbolen, en bestaan uit 2 takken. X = 0 hoort niet bij het domein.
Mark Shimmin
United Kingdom
Local time: 04:58
English translation:discontinuous function
Explanation:
"An example of a discontinuous function is the function f defined by f(x) = 1 if x > 0, f(x) = 0 if x ≤ 0."
http://en.wikipedia.org/wiki/Continuous_function

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Note added at 34 mins (2011-01-19 09:57:05 GMT)
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"discontinuous function - function whose graph has 1 or more gaps or breaks (hyperbola)"
http://quizlet.com/1736576/chapter-8-vocab-flash-cards/

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Note added at 38 mins (2011-01-19 10:00:33 GMT)
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"Question : Give an example of a function with at least one removable and one non-removable discontinuity (that has not been discussed in any lesson). Explain where the discontinuities occur and provide a justification for your reasoning. You may use a graph of the function to help explain your answers.

Answer : Let f(x) = (x - 1)/[x(x - 1)]. f has a removable discontinuity at x = 1 (by taking limits, we may 'remove' this discontinuity by setting f(1) = 1). Since f has a vertical asymptote at x = 0, this forms a removable discontinuity at x = 0 for f. Otherwise, f is continuous. (Essentially, this is the standard rectangular hyperbola y = 1/x with a removable singularity inserted at x = 1.) I hope that helps!"
http://www.tutornext.com/ws/discontinuity-functions
Selected response from:

kamilw
Local time: 05:58
Grading comment
Thank you.
3 KudoZ points were awarded for this answer



Summary of answers provided
3discontinuous function
kamilw


  

Answers


32 mins   confidence: Answerer confidence 3/5Answerer confidence 3/5
discontinuous function


Explanation:
"An example of a discontinuous function is the function f defined by f(x) = 1 if x > 0, f(x) = 0 if x ≤ 0."
http://en.wikipedia.org/wiki/Continuous_function

--------------------------------------------------
Note added at 34 mins (2011-01-19 09:57:05 GMT)
--------------------------------------------------

"discontinuous function - function whose graph has 1 or more gaps or breaks (hyperbola)"
http://quizlet.com/1736576/chapter-8-vocab-flash-cards/

--------------------------------------------------
Note added at 38 mins (2011-01-19 10:00:33 GMT)
--------------------------------------------------

"Question : Give an example of a function with at least one removable and one non-removable discontinuity (that has not been discussed in any lesson). Explain where the discontinuities occur and provide a justification for your reasoning. You may use a graph of the function to help explain your answers.

Answer : Let f(x) = (x - 1)/[x(x - 1)]. f has a removable discontinuity at x = 1 (by taking limits, we may 'remove' this discontinuity by setting f(1) = 1). Since f has a vertical asymptote at x = 0, this forms a removable discontinuity at x = 0 for f. Otherwise, f is continuous. (Essentially, this is the standard rectangular hyperbola y = 1/x with a removable singularity inserted at x = 1.) I hope that helps!"
http://www.tutornext.com/ws/discontinuity-functions

kamilw
Local time: 05:58
Native speaker of: Native in PolishPolish
PRO pts in category: 3
Grading comment
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