09:22 Jan 19, 2011 |
Dutch to English translations [PRO] Science - Mathematics & Statistics / Maths | |||||||
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| Selected response from: kamilw Local time: 18:02 | ||||||
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Summary of answers provided | ||||
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3 | discontinuous function |
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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 |
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