Question

Use the image to answer the question. Calculate the average rate of change over the interval  [3,4] of the given graph of the function.  (1 point) Responses 116 Start Fraction 1 over 16 End Fraction −16 negative 16 16 16 8

Answer 1

To calculate the average rate of change of a function over an interval \([a, b]\), you can use the formula:

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

We need the values of the function \(f\) at the endpoints of the interval \([3, 4]\).

1. Find \(f(3)\) from the graph.
2. Find \(f(4)\) from the graph.
3. Substitute these values into the formula.

Assuming you have the graph available and you can find \(f(3)\) and \(f(4)\), substitute those values in to compute the average rate of change.

For example, if:
- \(f(3) = 8\)
- \(f(4) = 16\)

Then:

\[
\text{Average Rate of Change} = \frac{f(4) - f(3)}{4 - 3} = \frac{16 - 8}{1} = 8
\]

This calculation depends on the actual values from the graph. Please refer to the graph to get the right \(f(3)\) and \(f(4)\) values, and then perform the calculation.