Question

F(x)=x^2+10 What is the average rate of change of F over the interval [-2,-1]

Answer 1

The average rate of change of f(x) over the interval [-2,-1] is 3.

Step-by-step explanation:

To find the average rate of change of f(x) over the interval [-2,-1], we need to calculate the difference in the function values at the endpoints and divide it by the difference in the x-values. Let's substitute the endpoints into the function:

f(-2) = (-2)² + 10 = 4 + 10 = 14

f(-1) = (-1)² + 10 = 1 + 10 = 11

The difference in function values is 14 - 11 = 3, and the difference in x-values is -1 - (-2) = -1 + 2 = 1. Therefore, the average rate of change is 3/1 = 3.

Answer 2

Answer: -3

Step-by-step explanation: plug -2 into f(x)=x^2+10 and you get 14, then plug the -1 into that same equation and end up with 11, now you subtract the 11 from the 14 and get 3 but since you subtracted or in other words the number decreased it would be -3