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Unformatted text preview: • 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 22 x ) 1 3 on the interval [0 , 4] 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.)....
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 Spring '08
 Smith
 Calculus, Asymptotes, Derivative, Mathematical analysis, Convex function

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