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Use the graph below to answer the following, if possible: Ty .8- y = g(x) 6- 10 4. State the following: (7 marks) . Absolute
Use the graph below to answer the following, if possible: Ty .8- y = g(x) 6- 10 4. State the following: (7 marks) . Absolute maximum . Absolute minimum . Relative maximum . Relative minimum . Critical numbers . Interval(s) of increase . Interval(s) of decrease1. Can Rolle's Theorem be applied to y = |x + 1| 2 on the interval [3, 0]? Justify. (2 marks) 2. Find the value of c in the interval (a, b) such that f'(c) = 0 for f(x) = x2 + 3x on [0, 3]. (2 marks) 3. Determine whether the Mean Value Theorem can be applied to f(x) = x/Z x on [7, 2]. Find all values of c in (7, 2) such that fl(c) : f(b)_f(a) , if possible. (5 marks) b a 10. Sketch the graph of a function having the indicated characteristics. (5 marks) . f'(x) 0 if x > 1 . f"(x)
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