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Unformatted text preview: obiahu (vo879) HW10 Schultz (56395) 1 This print-out should have 23 questions. Multiple-choice questions may continue on the next column or page find all choices before answering. 001 10.0 points Let f be the function defined by f ( x ) = 3 + 2 x 1 / 3 . Consider the following properties: A. has vertical tangent at x = 0 ; B. concave up on ( , 0) ; C. derivative exists for all x negationslash = 0 . Which does f have? 1. None of them 2. A only 3. C only 4. All of them 5. A and B only 6. B and C only 7. A and C only 8. B only 002 10.0 points If f is increasing and its graph is concave up on (0 , 1), which of the following could be the graph of the derivative , f , of f ? 1. f ( x ) 1 2. 1 f ( x ) 3. 1 f ( x ) 4. f ( x ) 1 003 10.0 points When Sue uses first and second derivatives to analyze a particular continuous function y = f ( x ) she obtains the chart y y y x < 3 + x = 3 4 3 < x < x = 0 1 1 < x < 2 + x = 2 1 DNE x > 2 + + obiahu (vo879) HW10 Schultz (56395) 2 Which of the following can she conclude from her chart? A. f has a point of inflection at x = 0. B. f is concave down on (0 , ) . C. f is concave up on ( , 0) . 1. A and B only 2. all of them 3. B only 4. C only 5. B and C only 6. A only 7. none of them 8. A and C only 004 10.0 points The figure below shows the graphs of three functions: One is the graph of a function f , one is its derivative f , and one is its second derivative f . Identify which graph goes with which function....
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- Spring '10