Answer:
The average rate of change for the function f(x) = 3x^2 - 2x + 4 on the interval 2 ≤ x ≤ 5 is 19.
Step-by-step explanation:
The average rate of change for the function f(x) = 3x^2 - 2x + 4 on the interval 2 ≤ x ≤ 5 is found by calculating the difference in the function's values at the endpoints of the interval and dividing by the difference in the x-values. Plugging in the values, we get: f(5) - f(2) = (3(5)^2 - 2(5) + 4) - (3(2)^2 - 2(2) + 4) = (75 - 10 + 4) - (12 - 4 + 4) = (69) - (12) = 57. Then, we divide this difference by the difference in x-values: (5 - 2) = 3. So, the average rate of change is 57 / 3 = 19.
