Question

A coordinate plane shows a curve labeled f of x. The x-axis ranges from negative 1 to 5 in 1-unit increments. The y-axis ranges from negative 2 to 30 in increments of 2. 2 points are marked on the curve.
Calculate the average rate of change over the interval [3,4]
of the given graph of the function.

(1 point)
Responses

8
8

16
16

−16
negative 16

1/16

Answer 1

To calculate the average rate of change of a function \( f(x) \) over the interval \([3, 4]\), we use the formula:

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

where \( a \) is the starting point of the interval and \( b \) is the ending point of the interval.

In this case, \( a = 3 \) and \( b = 4 \). You will need the values of \( f(3) \) and \( f(4) \) from the graph to proceed.

1. Find the value of \( f(3) \) on the graph.
2. Find the value of \( f(4) \) on the graph.
3. Plug these values into the formula above.

If you provide those function values \( f(3) \) and \( f(4) \), I can help you calculate the average rate of change.