Section 4.5-problems-1 - to (aqt73) – Section 4.5 –...

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Unformatted text preview: to (aqt73) – Section 4.5 – isaacson – (55826) This print-out should have 4 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 1 4 3. 2 10.0 points −4 −2 2 4 2 4 2 4 2 4 −2 If f is a function on (−4, 4) having exactly two critical points and the sign of f , f are given in −4 4 4. 2 f <0 f <0 f <0 f >0 −2 0 2 f >0 f <0 f >0 −4 −2 −2 −4 decide which of the following could be the graph of f . 4 5. 4 1. 2 2 −4 −2 2 −4 4 −2 −2 −2 −4 −4 2. 4 6. 4 2 2 −4 −2 2 −2 −4 4 −4 −2 −2 −4 002 10.0 points to (aqt73) – Section 4.5 – isaacson – (55826) Which of the following is the graph of f ( x) = x2 ? x2 − 4 Dashed lines indicate asymptotes. 5 1. 4 3 2 1 0 -1 -2 -3 -4 -5 -6 5 2. 4 3 2 1 0 -1 -2 -3 -4 -5 -6 6 5 3. 4 3 2 1 0 -1 -2 -3 -4 -5 -6 4 2 −4 −2 2 4 −2 −4 4 2 −4 −2 2 4 −2 −4 4 2 −4 −2 −4 6 5 5. 4 3 2 1 0 -1 -2 -3 -4 -5 -6 6 5 6. 4 3 2 1 0 -1 -2 -3 -4 -5 -6 4 2 4 2 −4 −2 2 4 2 4 2 4 −2 −4 4 2 −4 −2 −2 −4 4 2 −4 −2 −2 −4 003 2 −2 6 5 4. 4 3 2 1 0 -1 -2 -3 -4 -5 -6 10.0 points Use calculus to decide which of the following is the graph of f (x) = 3x2/3 + 2x . to (aqt73) – Section 4.5 – isaacson – (55826) y 1. have the properties x (i) f (−1) = 0, (ii) f > 0 on (−∞, −2) (iii) f (1, ∞), < 0 on (−2, 1). If the lines x = 1 and y = 3 are asymptotes of the graph of f , which of the following could be the graph of f ? y 2. x y 3. x y 4. x y 5. x 004 3 10.0 points A function f is continuous and twicedifferentiable for all x = 1. Its derivatives 7 6 6 5 1. 4 4 3 2 2 1 0 -1 −8 −6 −4 −2 246 -2 −2 -3 -4 −4 -5 -6 −6 -7 7 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 6 6 5 2. 4 4 3 2 2 1 0 -1 −8 −6 −4 −2 246 -2 −2 -3 -4 −4 -5 -6 −6 -7 7 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 6 6 5 3. 4 4 3 2 2 1 0 -1 −8 −6 −4 −2 246 -2 −2 -3 -4 −4 -5 -6 −6 -7 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 to (aqt73) – Section 4.5 – isaacson – (55826) 7 6 6 5 4. 4 4 3 2 2 1 0 -1 −8 −6 −4 −2 246 -2 −2 -3 -4 −4 -5 -6 −6 -7 7 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 6 6 5 5. 4 4 3 2 2 1 0 -1 −8 −6 −4 −2 246 -2 −2 -3 -4 −4 -5 -6 −6 -7 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 4 ...
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