Question

Use the image to answer the question.

A coordinate graph is shown. The horizontal axis spans from 0 to 9 in increments of 1 and the vertical axis spans from 0 to 19 in increments of 1.

What is the average rate of change of a function on the interval x:[4,8]
?

(1 point)
Responses

12
12

11
11

4
4

3

Answer 1

To find the average rate of change of a function on the interval \( x: [4,8] \), you can use the formula:

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

where \( a = 4 \) and \( b = 8 \).

You'll need the values of the function at \( x = 4 \) and \( x = 8 \). If you have the graph available, you would read off the corresponding \( y \)-values at these \( x \)-values.

Let's denote:
- \( f(4) \) as the \( y \)-value of the function at \( x = 4 \)
- \( f(8) \) as the \( y \)-value of the function at \( x = 8 \)

Once you have those values, plug them into the formula and calculate. Based on that, you would find which one of the provided responses (12, 11, 4, 3) is the correct average rate of change for that interval.

If you do not have the \( y \)-values from the graph, you won't be able to complete the calculation. Please check the graph for those values and substitute them into the formula above to find the answer.