Question 3 (6 pts.) Sketch the graph of a continuous function y = f(x) that satisfies the following conditions: 1. f'(x) > 0 for x < -2, 2. f'(x) < 0 for -2 < x < 5, 3. f'(x) = 0 for x > 5, 4. lim_{x o -2} f'(x) exists.
Added by Tiffany G.
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Step 1: To satisfy the conditions given, we need to sketch a graph of a continuous function where the derivative is greater than 0 for x < -2, less than 0 for -2 < x < 5, and equal to 0 for x > 5. Show more…
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