Unformatted text preview: example, if we pick the the point4 in the interval (∞ ,3), then because x < 0 at this point a “” goes in the column under x ; the factor x + 3 < 0 at the point x =4, so a “” goes in the column under ( x + 3); and so on. After determining the sign of f on the given interval, it follows that f is increasing if f > 0 on that interval; f is decreasing if f < 0 on that interval. Finally, candidates for relative maxima/minima are the critical points given in (1): • Because f changes from decreasing to increasing at the point x =3, f has a relative minimum at x =3. • The function f changes from increasing to decreasing at the point x = 0 so f has a relative maximum at x = 0. • Finally, f changes from decreasing to increasing at the point x = 2 so f has a relative minimum at x = 2....
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 Fall '10
 KIHYUNHYUN
 Calculus, Critical Point, Derivative, open intervals

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