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The function f(m) = 223 6:1:2 903: l 7 is increasing on the inverval (00, A] U [B5 00), and decreasing on the interval [A5

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The function f(m) = 223 6:1:2 903: l 7 is increasing on the inverval (00, A] U [B5 00), and decreasing on the interval [A5 B]. A = and B = See Example 1 page 155 for a similar example. The function {E 9(3) = 25 + m2 is increasing on the interval [11,3] and decreasing on the interval (00, A] U [3, 00). A = and B = See Example 2 page 156 for a similar example. The function f(:c) = 33:3 9:02 135m + 7 is increasing on the interval (00, A) U (B7 00) and decreasing on the interval (A7 B). A = and B = f is concave up on (C5 00) and concave down on (00, C). C = See Example 3 page 157 for a similar example. The function g(20 ) = 9+x2 is concave up on (A, B) U (C, co ) and concave down on (-0, A) U (B, C). A = B = , and C = See Example 4 page 157 for a similar example.Find the critical point and the interval on which the given function is increasing or decreasing, and apply the First Derivative Test to the critical point. Let 7 f($) : $24.5 Critical Point: x= ls f at a local maximum or a local minumum at the critical point? Local Max 3 A To the left of the critical point, f is Increasing 3 because 1" is Positive v To the right of the critical point, fis Decreasing 3 because f' is Negative 3

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