Qu Question 1 (1 point) For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists. (4, 7 ) 6+ (6, 5) (-1,3) 3- 2+ (1, 2) X O a Absolute maximum: f(4) = 7; Absolute minimum: f(1) = 2 Ob Absolute maximum: none; Absolute minimum: f(1) = 2 OC Absolute maximum: f(4) = 7; Absolute minimum: none O d Absolute maximum: none; Absolute minimum: none Next PageQuestion 2 of 9 | Page 2 of 9 Question 2 (1 point) Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places. f ( x) = x3 - 3x2+ 1;1-5, 5) O a local minimum at (2, -3) Ob local minimum at (0, 1) local maximum at (2, -3) O c local maximum at (0, 1) local minimum at (2, -3) O d none Next Page BackQuestion 3 of 9 Question 3 (1 point) The graph of a function f is given. Use the graph to answer the question. Find the numbers, if any, at which f has a local minimum. What are the local minima? 1+ -1- O a f has a local minimum at x = -It; the local minimum is -2 Ob f has a local minimum at x = -It and it; the local minimum is 2 O c f has a local minimum at x = 0; the local minimum is -2 O d f has no local minimum Next Page BackQuestion 4 of 9 | Page 4 of 9 Question 4 (1 point) Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places. f(x ) = x3 - 3x + 1, (-2, 2 ) O a local maximum at (1, -1) local minimum at (-1, 3) increasing on (-2, -1) decreasing on (-1, 1) O b local maximum at (1, -1) local minimum at (-1, 3) increasing on (-2, -1) and (1, 2) decreasing on (-1, 1) C local maximum at (-1, 3) local minimum at (1, -1) increasing on (-2, -1) and (1, 2) decreasing on (-1, 1) O d local maximum at (-1, 3) local minimum at (1, -1) increasing on (-1, 1) decreasing on (-2, -1) and (1, 2) Next Page BackQuestion 5 of 9 | Question 5 (1 point) The graph of a function f is given. Use the graph to answer the question. Find the numbers, if any, at which f has a local minimum. What are the local minima? sty 3+ 2 3 -2+ O a f has a local minimum at x = -2; the local minimum is 0 Ob f has a local minimum at x = -2 and 2; the local minimum is 0 OC f has a local minimum at x = 0; the local minimum is 2 O d f has no local minimum hs Next Page BackQues Question 6 (1 point) For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists. (-1, 6) (3, 5) S 3 - (4, 3) 2+ (1, 2) O a Absolute maximum: none; Absolute minimum: none O b Absolute maximum: none; Absolute minimum: f(1) = 2 OC Absolute maximum: f(3) = 5; Absolute minimum: f(1) = 2 O d Absolute maximum: f(-1) = 6; Absolute minimum: f(1) = 2 Next Rage BackQu Question 7 (1 point) For the graph of the function y = f(x), find the absolute maximum and the absolute minimum, if it exists. (5, 6) 3 (0, 3) (7, 2) (2, 1) O a Absolute maximum: f(6) = 5; Absolute minimum: f(1) = 2 O b Absolute maximum: f(7) = 2; Absolute minimum: f(0) = 3 OC Absolute maximum: f(2) = 7; Absolute minimum: f(3) = 0 Od Absolute maximum: f(5) = 6; Absolute minimum: f(2) = 1 Next Page BackQue Question 8 (1 point) The graph of a function f is given. Use the graph to answer the question. Find the numbers, if any, at which f has a local maximum. What are the local maxima? -3 -2 5 x -1- -2- -3- 4- O a f has a local maximum at x = 3; the local maximum is 3 Ob f has a local maximum at x = 0; the local maximum is 3 OC f has a local maximum at x = -3 and 3; the local maximum is 0 O d f has no local maximum Next Page BackQuestion 9 Question 9 (1 point) The graph of a function f is given. Use the graph to answer the question. (-8, 5) (23.9) (5.0 4 0) -10 (-9.5, 0) (0, 0) 10 x (-2.5. -3.3) + (5, -2.5) Find the numbers, if any, at which f has a local minimum. What are the local maxima? O a f has a local maximum at x = -2.5 and 5; the local maximum at -2.5 is -3.3; the local maximum at 5 is -2.5 O b f has a local minimum at x = -2.5 and 5; the local minimum at -2.5 is -3.3; the local minimum at 5 is -2.5 OC f has a local maximum at x = -3.3 and -2.5; the local maximum at -3.3 is -2.5; the local maximum at -2.5 is 5 O d f has a local minimum at x = -3.3 and -2.5; the local minimum at -3.3 is -2.5; the local minimum at -2.5 is 5 Review Answers Back