Problem 11. Consider the function y = Vx2 + x - I 1. Find all intervals of increase and decrease. 2. Find all relative max/min 3. Find all intervals of concave up and down 4. Find all points of inflection 5. Now graph the function on the axes below labeling all the points you found. -1 -3 -2 - Problem 12. If f(-1) = 2, f'(-1) = 0 and f"(-1) = -0.1, is x = -1 a local min for f(x), a local max, or possibly neither? Draw a brief sketch to justify your conclusions. Problem 13. Sketch an example of a function that is concave up on (-co, 2), concave down on (2, co), decreasing on (-0o, 0) and (4, co), and increasing on (0, 4). Problem 14. The graph of f'(x) is below. Use this graph to determine the intervals of increase/ decrease/concave up/ concave down for f(x). At which coordinates does f(r) have a local min, local max, or inflection point? f' (I) - 2 - 1 2 3 1 -2 3