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Unformatted text preview: both increasing AND concave down • both decreasing AND concave up • both decreasing AND concave down and draw the basic shape of the curve on each interval. Now piece your shapes together to draw the function h ( x ) below. Label all intercepts, local extrema, inﬂection points, removable discontinuities, and asymptotes. 2. Find the absolute maximum and minimum value of the function f ( x ) = 3( x 2-2 x ) 1 3 on the interval [0 , 4] absmax is 6 at x = 4 absmin is 0 at both x = 0 and x = 2 Try to sketch the function on [0 , 4] . Use intercepts and a number line for the ﬁrst derivative, to decide where the function is increasing/decreasing and also the special features at the critical points (vertical tangent, cusp, etc.). inc (1 , 2) , (2 , 4) dec (0 , 1) VTL at x = 0 intercept at x = 0 , 2...
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