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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
 11 months ago
 11 months ago
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
 11 months ago
 11 months ago

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iplayffxivBest ResponseYou've already chosen the best response.0
\[g(x)= \int\limits_{0}^{x}f(t) dt\]
 11 months ago

iplayffxivBest ResponseYou've already chosen the best response.0
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 xaxis at x = 2.
 11 months ago

iplayffxivBest ResponseYou've already chosen the best response.0
but what if it isn't because the question says "of the function"
 11 months ago

iplayffxivBest ResponseYou've already chosen the best response.0
if there is a positive for all x doesnt that mean it never crosses x axis?
 11 months ago

fatima1Best ResponseYou've already chosen the best response.0
positive derivative means that the curve is proceeding in downward direction
 11 months ago

iplayffxivBest ResponseYou've already chosen the best response.0
still think its d?
 11 months ago

t_soulbBest ResponseYou've already chosen the best response.2
i think its b,c,d .. comments please :)
 11 months ago

iplayffxivBest ResponseYou've already chosen the best response.0
now im more confused
 11 months ago

sama491Best ResponseYou've already chosen the best response.0
f(2)=0 implies that for f at x=2, y=0 thus option D is right.
 11 months ago

iplayffxivBest ResponseYou've already chosen the best response.0
you think its d sama?
 11 months ago

sama491Best ResponseYou've already chosen the best response.0
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 :)
 11 months ago

iplayffxivBest ResponseYou've already chosen the best response.0
ok thanks sama and soul
 11 months ago

sama491Best ResponseYou've already chosen the best response.0
Will be right ;) And you're welcome!
 11 months ago

t_soulbBest ResponseYou've already chosen the best response.2
b..is correct sorry .. see as
 11 months ago

sama491Best ResponseYou've already chosen the best response.0
Dude I'm so sorry! I read g as f :P B is right!
 11 months ago
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