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ACTIVITY 1 : Practice ! Directions : Find the extrema of the following fuctions on the given interval. . Determine the value of x at which the extrema occur. 1) f ( x ) = -3x2 + 4x3 +3 -6x on [-1, 1 ] 2) f ( x ) = - cos x on [-3, 31 X 3 ) f ( x ) = 2 + 2 on [-1, 2] ACTIVITY 2 : Keep Practicing ! Answer the following problems : 1) Find the number in the interval [ -2, 2 ] so that the difference of the number from its square is maximized. 2) Determine whether the function f ( x ) = sin x will have extrema (maximum and minimum) on the interval [ -? , 7 ]