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Suppose F(x) is a function such that . '11) = 3 - The domain of f is [-3.3]. - The graph of f'is ''~o- On your own graph paper make a possible sketch of the function for) . It is not possible for WebAssign to check your graph, so get feedback. Then answer the following question about your graph. Note: Only 6 submissions allowed, but you lose a half point per submission. Which of the following statemenls are true about the function a"? Select all that apply. C] f passes through the point (1,3). E] f passes through the point (0.5.0.1). f is increasing on the interval (3,3). At the point x = 0.5, the slope of fis 0. At the point x = 0.5, the slope of fis 0.1. f is sometimes increasing and sometimes decreasing. DODGE] f is decreasing on the interval (3,0.5) Keep your graph you created. You will need it on the next problem and may be asked to hand it in for feedback. J. [-12 Points] In the previous problem you created a graph for the function f(x) such that . f\") = 2 I The domain offis (40,00). I The graph of f'is Use your graph to answer the following question. You get only two attempts at each question. Be sure you get feedback on your graph rst. 1. List all locations where fhas a local maximum. Enter your answers as a comma separated list. Do not include endpoints. If there are no local maxima, enter DNE. 2. List all locations where fhas a local minimum. Enter your answers as a comma separated list. Do not include endpoints. If there are no local minima, enter DNE. Local Minimum at x = |:| Suppose x) is a function such that . {(1) = 2 - The domain of f is (49,00). - The graph of f'is On your own graph paper make a possible sketch of the function f(x) . It is not possible for WebAssign to check your graph, so get feedback. Then answer the following question about your graph. Note: Only 6 submissions allowed, but you lose a half point per submission. Which of the following statements are true about the function 1'? Select all that apply. [:1 f is decreasing on the interval (oo,0). C] The slope of fis zero at the point x = 2.5. C] The slope of fis zero at the point x = 5. C] f passes through the point (5,0). E] f is decreasing on the interval (25,00). [:1 f is increasing on the interval (0,5). E] f is increasing on the interval (oo,2.5). Keep the graph you created. You will need it on the next problem and may be asked to hand it in for feedback. In the previous problem you created a graph for the function f(x) such that . :12) = 4 - The domain offis [5.5]. - The graph of f'is Use your graph to answer the following question. You get only two attempts at each question. Be sure you get feedback on your graph rst. 1. List all locations where fhas a local maximum. Enter your answers as a comma separated list. Do not include endpoints. If there are no local maxima, enter DNE. Local Maximum at x = |:| 2. List all locations where f has a local minimum. Enter your answers as a comma separated list. Do not include endpoints. lfthere are no local minima, enter DNE. Local Minimum at x = |:| Suppose f(x) is a function such that . p12): 4 - The domain of f is [-5.5]. - The graph of f'is I I I I -I -I I I _I T I I -1-11- _.f_'._ On your own graph paper make a possible sketch of the function f(x) . It is not possible for webassign to check your graph, so get feedback. Then answer the following question about your graph. Note: Only 6 submissions allowed, but you lose a half point per submission. Which of the following statements is true about the function f? Select all that apply. E] f passes through the point (2,0). C] if passes through the point (2,4). C] fis increasing on the interval (5,2). C] fis decreasing on the interval (2,5). C] fis decreasing on the interval (5,5). C] At the point x = 3, the slope of fis 1. C] The slope of fis 1. Keep your graph you created. You will need it on the next problem and may be asked to hand it in for feedback. 6. [-12 Points] In the previous problem you created a graph for the function f(x) such that '10) = 2 The domain of fis [0,10]. f'(x) > 0 on the interval (0,5). f'(x)