anonymous
  • anonymous
classify the discontinuities (if any) for the given function: f(x) = {2, x
Mathematics
  • Stacey Warren - Expert brainly.com
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chestercat
  • chestercat
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dumbcow
  • dumbcow
discontinuous at x=0,1,3
anonymous
  • anonymous
the answer choices are (a) The function has a removable discontinuity at x = 1 b) The function has a jump discontinuity at x = 0 and 3 c) The function has an infinite discontinuity at x = 3 d) The function is continuous for all x e) The function has a removable discontinuity at x = 3
anonymous
  • anonymous
would it be answer choice a?

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dumbcow
  • dumbcow
no it would def be B) at x=0,1,3 the y value jumps up or down
anonymous
  • anonymous
thanks, could you also explain how you got that answer?
dumbcow
  • dumbcow
it helps if you try to draw the graph for all neg values y=2 for x between 0 and 1, y=x^2 for x between 1 and 3, y=1 for x>3, y=x At x=0 you have a jump from 2 to 0 because y=x^2=0^2=0 when you have a break in the graph like this it is a jump discontinuity here is site on discontinuities http://en.wikipedia.org/wiki/Jump_discontinuity#Examples
anonymous
  • anonymous
thanks!

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