The graph is an illustration of the distance time graphs, and the graph direction changes at different intervals
The missing part of the question
The linear model represents the height, f(x), of a water balloon thrown off the roof of a building over time, x, measured in seconds:
See attachment for graph
The domain at which the height increases
This represents the x values where the height of the balloon experiences an increment.
From the graph (see attachment), the height increases from x = 0 to x = 2
Hence, the interval of the domain where the water balloon's height is increasing is [0,2]
The domain at which the height stays the same
This represents the x values where the height of the balloon remains unchanged
From the graph, the height remains unchanged from x = 2 to x = 4
Hence, the interval of the domain where the water balloon's height stays the same is [2,4]
The domain at which the height decreases fastest
From the graph, the height decreases by 38 feet from x = 4 to x = 6 and the height decreases by 40 feet from x = 6 to x = 10
The rate of change at these points is:
Point 1 = (38)/(6 - 4) = 19
Point 2 = (40)/(10 - 6) = 10
19 is greater than 10;
This means that the height decreases fastest at x = 4 to x = 6
Hence, the interval of the domain where the water balloon's height decrease fastest is [4,6]
The height of the water balloon at 10 seconds
This means that we determine the value of the graph, when x = 10
From the graph;
y = 0, when x = 10
Hence, the height of the water balloon at 10 seconds is 0 feet
Read more about distance time graphs at:
https://brainly.com/question/13877898
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