Find the average value of f on [0, 16].48121The x y-coordinate plane is given. A function composed of several line segments is on the graph. The function begins at y = −1 on the negative y-axis, goes up and right in a linear fashion, crosses the x-axis at x = 2, sharply changes direction at (4, 1), goes down and right in a linear fashion, sharply changes direction at (6, 0), goes up and right in a linear fashion, sharply changes direction at (8, 2), goes horizontally right, sharply changes direction at (12, 2), goes down and right in a linear fashion, sharply changes direction at (14, 1), goes up and right in a linear fashion, and ends at (16, 3).
Question
Find the average value of f on [0, 16].48121The x y-coordinate plane is given. A function composed of several line segments is on the graph. The function begins at y = −1 on the negative y-axis, goes up and right in a linear fashion, crosses the x-axis at x = 2, sharply changes direction at (4, 1), goes down and right in a linear fashion, sharply changes direction at (6, 0), goes up and right in a linear fashion, sharply changes direction at (8, 2), goes horizontally right, sharply changes direction at (12, 2), goes down and right in a linear fashion, sharply changes direction at (14, 1), goes up and right in a linear fashion, and ends at (16, 3).
Solution
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Find the average value of f on [0, 16].
The x y-coordinate plane is given. A function composed of several line segments is on the graph. The function begins at y = −1 on the negative y-axis, goes up and right in a linear fashion, crosses the x-axis at x = 2, sharply changes direction at (4, 1), goes down and right in a linear fashion, sharply changes direction at (6, 0), goes up and right in a linear fashion, sharply changes direction at (8, 2), goes horizontally right, sharply changes direction at (12, 2), goes down and right in a linear fashion, sharply changes direction at (14, 1), goes up and right in a linear fashion, and ends at (16, 3).
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