Question

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

goes from 3,4 to 4,20

Answer 1

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

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

In this case, the values from the graph are:
- \(f(3) = 4\)
- \(f(4) = 20\)

Substituting the values into the formula:

\[
\text{Average Rate of Change} = \frac{f(4) - f(3)}{4 - 3} = \frac{20 - 4}{4 - 3} = \frac{16}{1} = 16
\]

Therefore, the average rate of change over the interval \([3, 4]\) is \(16\).