anonymous
  • anonymous
a Suppose that f has a positive derivative for all values of x and that f(2) = 0. Which of the following statements must be true of the function
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
\[g(x)= \int\limits_{0}^{x}f(t) dt\]
anonymous
  • anonymous
A) The function g has a local maximum at x = 2. B) The function g has a local minimum at x = 2. C) The graph of g has an inflection point at x = 2. D) The graph of g crosses the x-axis at x = 2.
anonymous
  • anonymous
but what if it isn't because the question says "of the function"

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anonymous
  • anonymous
if there is a positive for all x doesnt that mean it never crosses x axis?
anonymous
  • anonymous
positive derivative means that the curve is proceeding in downward direction
anonymous
  • anonymous
oh
anonymous
  • anonymous
still think its d?
anonymous
  • anonymous
no no wait ..
anonymous
  • anonymous
i think its b,c,d .. comments please :)
anonymous
  • anonymous
now im more confused
anonymous
  • anonymous
f(2)=0 implies that for f at x=2, y=0 thus option D is right.
anonymous
  • anonymous
you think its d sama?
anonymous
  • anonymous
Nothing can be said about the other options as there is no mention of the nature of the derivative of f except that it is +ve which implies f is always increasing in the domain. So yes it is D :)
anonymous
  • anonymous
ok thanks sama and soul
anonymous
  • anonymous
hope its correct
anonymous
  • anonymous
Will be right ;) And you're welcome!
anonymous
  • anonymous
b..is correct sorry .. see as
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anonymous
  • anonymous
Dude I'm so sorry! I read g as f :P B is right!

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