Question

Which statement describes the average rate of change for the interval [−2,2] ?

(1 point)
Responses

The average rate of change is 3.

The average rate of change is 0.

The average rate of change is −1/2.

The average rate of change is −2.

Answer 1

what is the answer?

Answer 2

To find the average rate of change of a function \( f(x) \) over the interval \([-2, 2]\), we use the formula:

\[
\text{Average Rate of Change} = \frac{f(b) - f(a)}{b - a}
\]

where \( a = -2 \) and \( b = 2 \).

Without knowing the specific function \( f(x) \), we cannot calculate the average rate of change. However, based on the options provided, the average rate of change for the interval could be one of the given responses. To choose the correct statement, you would need to substitute into the formula with the specific function values at \( x = -2 \) and \( x = 2 \).

If you could provide the function being analyzed, I would be able to calculate the average rate of change for you.