calculate the average rate of change over the interval [-2,1] given the function f(x)=x^2+2x-2
1
-1
-4
3
To calculate the average rate of change over the interval [-2,1], we first need to find the values of f(-2) and f(1) using the function f(x) = x^2 + 2x - 2.
f(-2) = (-2)^2 + 2(-2) - 2 = 4 - 4 - 2 = -2
f(1) = (1)^2 + 2(1) - 2 = 1 + 2 - 2 = 1
Now, we can calculate the average rate of change:
Average Rate of Change = (f(1) - f(-2))/(1 - (-2))
= (1 - (-2))/(1 + 2)
= 3/3
= 1
Therefore, the average rate of change over the interval [-2,1] is 1.