Consider the function f shown in the graph next at the right. Use the graph to make a rough estimate of the average value of f on [−4, 4], and illustrate this average value as a height on the graph.
The solution is
We are given with a function f and its graph.
The objective is to estimate the area of f on [-4,4].
Consider the rough approximation for the function given in the diagram.
The values of the functions are at
Then, the rough value for the average can be calculated as shown below.
Thus, the rough value for the average is
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