Question

7. After sketching the graphs of function f(x) and its derivative f(x) on the interval [0, 10],I spilled my tea on the graph of f(x). The coffee dissolved the ink as shown. Please redraw the graph for me using the graph of f(x). (Hint: Graph f"(x) to determine the concavity of the original graph.) Be sure to indicate important features like relative max and min, points of inflection, increasing and decreasing intervals, and intervals where the graph is concave up or concave down. List all intervals using interval notation. (13 pts) Indicate as much information as possible (as applicable) for each of the following here: relative minima: relative maxima: y f(x), x-scale 1, y scale 1 inflection points Using the graph of y= (x) on the left, I can determine that the graph of y f(x) is . increasing on decreasing on y f'(x), x-scale 1, y-scale 1 After sketching the graph of y f(x) on the left, I can determine that the graph of y- f(x) is on and on y f(x), x-scale 1, y-scale 1

Answer 1

n) and x 1 o im creasing onthis interva! clt o n , 10