Using the graph, it is found that the average rate of change of the function over the interval 0 ≤ x ≤ 20 is of 1.
What is the average rate of change?
The average rate of change of a function f(x) over an interval [a,b] is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In the interval for this problem, we have that:
- [tex]a = 0, b = 20[/tex].
- From the graph, [tex]f(0) = 4, f(20) = 24[/tex].
Hence:
[tex]A = \frac{24 - 4}{20 - 0} = 1[/tex]
The average rate of change of the function over the interval 0 ≤ x ≤ 20 is of 1.
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