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1. (1 point) Determine the intervals on which f is increasing or decreas ing, assuming the figure below is the graph of the derivative of
1. (1 point) Determine the intervals on which f is increasing or decreas ing, assuming the figure below is the graph of the derivative of f. 19 419 1.0 On Interval 1: f is ? On Interval 2: f is ? On Interval 3: f is ? 2. (1 point) If the figure below is the graph of the derivative f , answer the following: Where do the points of inflection of f occur? On which interval(s) is f concave down?3. (1 point) Use the given graph of the function f to answer the following questions. If a question has two or more answers separate them with commas. 1. List the open interval(s) on which f is concave upward. For credit your interval(s) must be as large as possible. Answer (in interval notatiom: 2. List the open interval(s) on which f is concave down- lard. For credit your interval(s) must be as large as possible. Answer (in interval notatiom: 3. List the points of inection. List your answers as points in the form (a,b). Answer (separate by commas): Note: You can click on the graph to enlarge the image. 4. (1 point) For the function f given above, determine whether the fol- lowing conditions are true. Input T if the condition is ture, otherwise input F . (a)f'(x) 0 if x > 2; (c) f"(x) 0if1 4; (f) Two inflection points of f(x) are, the smaller one is x = and the other is x = 5. (1 point) Consider the graph of the function f(x) = (x + 1)3 (x - 1)2 ibiA.j/bi What is the y-intercept of the graph? y = For the following 3 questions, enter all possible values, sep- arated by commas. If there are none, type 'none'. ibiB.i/bi What are the x-intercepts of the graph? x ibiC.;/bi At what values of x does the graph have a vertical asymptote? x = ibiD.j/bi At what values of y does the graph have a horizon- tal asymptote? y =- For the following 2 questions, enter your answers in the form (-2, 3], (-I,0)U[1,2), etc. using I for co or type 'empty' for 0 ibiF. ;/biFor what values of x is f decreasing? ibiG. ;/biFor what values of x is f concave up
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