Need help on these questions, please!

At which labeled point is the graph concave up? O A. b OB. d OC. e OD. a 4- 2 6 8 10 12 14 16The graph of y=f'(x) is shown to the right. Explain why f(x) must have a relative minimum point at x = 7. y = f'(xx) To demonstrate why f(x) must have a relative minimum point at x = 7, evaluate the behavior of the function to the left and right of x = 7 using the graph of y = f'(x). What is the sign of the slope of f(x) to the left of x = 7? O A. The slope of f(x) is negative to the left of x = 7 because f'(x) is decreasing there. O B. The slope of f(x) is positive to the left of x = 7 because f (x) is positive there. O C. The slope of f(x) is positive to the left of x = 7 because f'(x) is increasing there. O D. The slope of f(x) is negative to the left of x = 7 because f'(x) is negative there. What is the sign of the slope of f(x) to the right of x = 7? O A. The slope of f(x) is positive to the right of x = 7 because f'(x) is increasing there. O B. The slope of f(x) is negative to the right of x =7 because f'(x) is negative there. O C. The slope of f(x) is positive to the right of x = 7 because f'(x) is positive there. O D. The slope of f(x) is negative to the right of x =7 because f (x) is decreasing there. Therefore, the function f(X) is to the left of x = 7 and to the right of x = 7. Since f'(x) changes from negative to positive at x = 7, f(x) changes from decreasing to increasing at x = 7. By the definition of a relative minimum point, f(x) has a relative minimum point at x = 7