- (C) I is false since, for example, f ′(−2) = f ′(1) = 0 but neither g(−2) nor g(1) equals zero.
II is true. Note that f = 0 where g has relative extrema, and f is positive, negative, then
positive on intervals where g increases, decreases, then increases.
III is also true. Check the concavity of g: when the curve is concave down, h < 0; when up,
h > 0.
dmanu
(dmanu)
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