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Find the average rate of change of each function on the given interval. (Example 5) 34. g(x) = -4x2 + 3x - 4; [-1, 3] 35. g(x) = 3x2 - 8x + 2; [4, 8] 36. f(x) = 3x3 - 2x2 + 6;12, 6] 37. f(x) = -2x3 - 4x2 + 2x - 8; 1-2, 3] 38. f(x) = 3x4 - 2x2 + 6x - 1; [5,9] 39. f(x) = -2x4 - 5x3 + 4x - 6; [-1,5] 40. h(x) = -x5 - 5x2 + 6.x - 9; [3, 6] 41. h(x) = x5 + 2x* + 3x - 12; [-5, -1] 42. f(x ) = x - 3 x ; [5, 12] 43. f(x) = [-6, 2] 44. f(x) = Vx + 8; [-4,4] 45. f(x) = Vx - 6; [8, 16] 46. WEATHER The average high temperature by month in Pensacola, Florida, can be modeled by f(x) = -0.9x2 + 13x + 43, where x is the month and x = 1 represents January. Find the average rate of change for each time interval, and explain what this rate represents. (Example 6) a. April to May b. July to November