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# hw 11 - silva(jrs4378 HW11 gualdani(56455 This print-out...

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silva (jrs4378) – HW11 – gualdani – (56455) 1 This print-out should have 17 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points If f is a function on ( - 4 , 4) having exactly two critical points and the sign of f , f ′′ are given in - 2 0 2 f > 0 f < 0 f < 0 f < 0 f ′′ < 0 f ′′ > 0 f ′′ < 0 decide which of the following could be the graph of f . 1. 2 4 - 2 - 4 2 4 - 2 - 4 2. 2 4 - 2 - 4 2 4 - 2 - 4 3. 2 4 - 2 - 4 2 4 - 2 - 4 4. 2 4 - 2 - 4 2 4 - 2 - 4 5. 2 4 - 2 - 4 2 4 - 2 - 4 6. 2 4 - 2 - 4 2 4 - 2 - 4 002 10.0 points

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silva (jrs4378) – HW11 – gualdani – (56455) 2 Which of the following is the graph of f ( x ) = x 2 x 2 - 16 ? Dashed lines indicate asymptotes. 1. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 2 4 - 2 - 4 2 4 - 2 - 4 2. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 2 4 - 2 - 4 2 4 - 2 - 4 3. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 2 4 - 2 - 4 2 4 - 2 - 4 4. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 2 4 - 2 - 4 2 4 - 2 - 4 5. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 2 4 - 2 - 4 2 4 - 2 - 4 6. -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 2 4 - 2 - 4 2 4 - 2 - 4 003 10.0 points If f is a continuous function on ( - 4 , 4) such that (i) f has 3 critical points, (ii) f has 1 local maximum, (iii) f ′′ ( x ) > 0 on ( - 4 , - 2), (iv) f ′′ ( x ) < 0 on (0 , 2), (v) (0 , 1) is an inflection point,
silva (jrs4378) – HW11 – gualdani – (56455) 3 (vi) f ( x ) < 0 on (2 , 4), which one of the following could be the graph of f ? 1. 2 4 - 2 - 4 2 4 2. 2 4 - 2 - 4 2 4 3. 2 4 - 2 - 4 2 4 4. 2 4 - 2 - 4 2 4 5. 2 4 - 2 - 4 2 4 6. 2 4 - 2 - 4 2 4 004 10.0 points In the following graph of a function f the x - axis and a vertical asymptote are shown, but the y -axis has been omitted. Which function

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hw 11 - silva(jrs4378 HW11 gualdani(56455 This print-out...

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