anonymous
  • anonymous
Consider the function f(x)=x^2−4x+3 on the interval [0,4]. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the interval. f(x) is _______ on [0,4] f(x) is _______ on (0,4) f(0) = f(4)= ? Then by Rolle's theorem, there exists a c such that f′(c)=0. Find the value c.
Mathematics
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
ok so we know that the function is cont. [0,4] because it has no discontinuity on any interval. f(0)=3 f(4)=3 so f(0)=f(4)=3 so by rolle's theorem, there exists a c such that f′(c)=0 and 0
anonymous
  • anonymous
but what is f(x) on the intervals [0,4] and (0,4)
anonymous
  • anonymous
it is defined on interval [0,4] and continous on (0,4)

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anonymous
  • anonymous
my software doesnt accept that
anonymous
  • anonymous
c=2
anonymous
  • anonymous
it was established that c=2 long time ago
anonymous
  • anonymous
what i am trying to know is what is f(x) on the interval [0,4] and (0,4)

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