Unformatted text preview: f ( x ) < 0. (c) (4 points) Give all numbers a such that f ( a ) = 0. 4. Let f ( x ) =4 x1 x for x > 0 (remember this restricted domain in each part!). (a) (5 points) Locate any critical points ( x and y values) of f ( x ). (b) (5 points) Describe the concavity of f ( x ); that is, list all intervals (if any) where f ( x ) is concave up, list all intervals (if any) where f ( x ) is concave down, and list any inﬂection points (if any). Make sure you clearly label your answers. (c) (5 points) Give any vertical asymptotes of the graph of f ( x ). Bonus (3 points) Give any horizontal or slant asymptotes of the graph of f ( x ). (d) (5 points) Sketch the graph of f ( x ) for x > 0, labeling all critical points and asymptotes. 5. (20 points) Rick has 800 feet of fence that he wants to use to enclose a rectangular garden. Find the maximum area that Rick’s garden can have....
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 Spring '08
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 Math, Algebra, Derivative, HONOR PLEDGE, ﬁrst sheet

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