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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

11
11

4
4

3
3

12
12

1 answer

To calculate the average rate of change of a function \( f(x) \) on the interval \( x: [4, 8] \), we use the formula:

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

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

You would need to determine the values of \( f(4) \) and \( f(8) \) from the graph. However, since I cannot see the image, I can't provide the specific values.

If you know the values of \( f(4) \) and \( f(8) \) from the graph:

  1. Retrieve those values.
  2. Plug them into the formula.
  3. Calculate the average rate of change.

If you provide the values of \( f(4) \) and \( f(8) \), I can help you compute the average rate of change. If the correct answer is one from the provided responses, you can check your calculations against the options: 11, 4, 3, or 12.