Find the local extrema, the intervals on which the function is increasing, and the intervals on which the function is decreasing. f(x) = 2x -x2 Choose the correct local extrema. O A. The local minimum is f(1) = 1. There is no local maximum. O B. The local maximum is f(1) = 1. There is no local minimum. O C. There are no local extrema. Choose the correct increasing and decreasing intervals. A. The function is decreasing on ( - co, 1) and increasing on (1,co). O B. The function is increasing on ( - co, 1) and decreasing on (1,00). O C. The function is increasing on ( - 0o,00). O D. The function is decreasing on ( - co,00).. . . CO Af(x) O X CO Af(x ) O x Match the conditions f'(x) > 0 and f" 0 and f"'