Calculate the average rate of change over the interval [3,4] of the given graph of the function.

Question

(1 point)
Responses

16
16

116
Start Fraction 1 over 16 End Fraction

−16
negative 16

8

Answer 1

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

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

In this case, we need to find \( f(4) \) and \( f(3) \) from the graph of the function. However, since I do not have access to the graph itself, I cannot provide the specific values for \( f(3) \) and \( f(4) \).

If you provide the values of \( f(3) \) and \( f(4) \), I can help you calculate the average rate of change. Otherwise, please use the values to determine:

1. Calculate \( f(4) - f(3) \).
2. Divide that difference by \( 4 - 3 = 1 \).

Please provide the values or check the graph to determine \( f(3) \) and \( f(4) \).