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Use the first derivative test and the second derivative test to determine where each function is increasing, decreasing, concave up, and concave down. w/ - y = (3x - 7) XER . . . Select the correct choice below and, if necessary, fill in the answer box within your choice. O A. The function is increasing on (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer.) O B. The function is not increasing on any interval.Use the first derivative test and the second derivative test to determine where each function is increasing, decreasing, concave up, and concave down. x+1 y= ,x0 Select the correct choice below and, if necessary, ll in the answer box within your choice. 5:3 A- The function is increasing on (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer.) I} B. The function is not increasing on any interval. Use the rst derivative test and the second derivative test to determine where each function is increasing, decreasing, concave up. and concave down. y = 5xe_ x ,x>0 E} Select the correct choice below and, if necessary, ll in the answer box within your choice. '33:? A- The function is increasing on (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer.) '33:} B. The function is not increasing on any interval. Find the local maxima and minima for the function. Find the intervals on which it is increasing and the intervals on which it is decreasing. y=x - 3x + 1, XER Find the local maxima and minima of the function. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. (Type an ordered pair. Type an exact answer for each coordinate, using radicals as needed. Use a comma to separate answers as needed.) O A. The local minimum/minima is/are and the local maximum/maxima is/are O B. The local minimum/minima is/are and there are no local maxima. O C. The local maximum/maxima is/are and there are no local minima. O D. There are no local minima or maxima.Determine all inflection points. f (x) = 7e-7x , X20 . . . Identify the coordinates of any inflection points. O A. The coordinates of the inflection points are (Simplify your answer. Type an ordered pair. Type an exact answer using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) O B. There are no inflection points