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Unformatted text preview: vu (tv2894) – Homework 15 (Section 4.3) – miner – (55096) 1 This printout should have 5 questions. Multiplechoice questions may continue on the next column or page – find all choices before answering. 001 10.0 points If f is increasing and its graph is concave down on (0 , 1), which of the following could be the graph of the derivative , f ′ , of f ? 1. 1 f ′ ( x ) 2. f ′ ( x ) 1 cor rect 3. f ′ ( x ) 1 4. 1 f ′ ( x ) Explanation: The function f increases when f ′ > 0 on (0 , 1), and its graph is concave down when f ′′ < 0. Thus on (0 , 1) the graph of f ′ lies above the xaxis and is decreasing. Of the four graphs, only f ′ ( x ) 1 has these properties. 002 10.0 points Ted makes a chart to help him analyze the continuous function y = f ( x ): y y ′ y ′′ x < 1 + x = 1 2 1 < x < x = 0 1 1 < x < 2 + x = 2 2 DNE x > 2 + + Consider the following statements: A. f has a local minimum at x = 2....
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 Fall '10
 Gualdini
 Calculus, Derivative, Convex function

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