Question 1007810: Which one of the following statements is true?
If f is continuous on a closed interval [a, b], then f attains an absolute maximum value and f attains an absolute minimum inside the interval [a, b].
If f ′′(c) = 0, then x = c is an inflection point on the graph of f(x).
If f ′′(x) < 0 on the interval (a, b), then f is concave up on the interval (a, b).
None of these are true.
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! None of these are true
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a or b can be absolute max or absolute min on [a, b]
the first derivative is the tool we use to find inflection points
if second derivative < 0 then we have concave down
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