Final answer:
To find the average rate of change of a function between two points, calculate the difference in the function values and divide it by the difference in the x-values.
Step-by-step explanation:
To find the average rate of change of a function between two points, you need to calculate the difference in the function values at those points and divide it by the difference in the x-values. In this case, the function is f(x) and the two points are x = -4 and x = 3.
So, you calculate f(3) - f(-4) and divide it by 3 - (-4).
Let's say f(x) = 2x^2 + 3x - 1. Then f(3) = 2(3)^2 + 3(3) - 1 and f(-4) = 2(-4)^2 + 3(-4) - 1. Evaluating these expressions will give you the values of f(3) and f(-4). Divide the difference in these values by 7 (3 - (-4)) to find the average rate of change.