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Make a good sketch of the function f(x) near the point where x = - 2, given that f( - 2) = - 4, f'(
Make a good sketch of the function f(x) near the point where x = - 2, given that f( - 2) = - 4, f'( - 2) = 1, and f"( - 2) = 2. What information about the graph of f(x) is provided by the statement f( - 2) = - 4? O A. f(x) passes through the point ( - 4, - 2). O B. f(x) passes through the point ( - 2, - 4). O C. f(x) is concave down at x = - 2. O D. The slope of f(x) at x = - 2 is - 4. What information about the graph of f(x) is provided by the statement f'( - 2) = 1? O A. The slope of f(x) at x = - 2 is 1. O B. f(x) passes through the point ( - 2, 1). O C. f(x) is concave up at x = - 2. O D. f(x) is concave down at x = - 2. What information about the graph of f(x) is provided by the statement f"'( - 2) = 2? O A. f(x) passes through the point ( - 2,2). O B. f(x) is concave down at x = - 2. O C. f(x) is concave up at x = - 2. ( D. The slope of f(x) at x = - 2 is 2. Therefore, which of the following is a good sketch of f(x) near the point where x = - 2? OA B. OC. OD. Ay O x -4-2) * ( ( 2 . - 4 ) A - 2- 4 )
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