Question

What is the average rate of change of the function f(x)=2x2+4 over the interval [-4,-1]

Answer 1

-3 cuz 4-1=3 ok so it will be 3

Answer 2

Answer-The average rate of change of the function f(x) = 2x^2 + 4 over the interval [-4, -1] is 14.

Here's how to calculate it:
- First, find the value of f(-4) and f(-1):
- f(-4) = 2(-4)^2 + 4 = 36
- f(-1) = 2(-1)^2 + 4 = 6
- Next, find the change in f(x) over the interval:
- Change in f(x) = f(-1) - f(-4) = 6 - 36 = -30
- Finally, divide the change in f(x) by the length of the interval:
- Average rate of change = (change in f(x)) / (length of interval) = (-30) / (-1 - (-4)) = 10

So the average rate of change of the function f(x) = 2x^2 + 4 over the interval [-4, -1] is 10.