a) The graph shown is a line graph, hence the graph is a continuous graph
b)
c)
Find the diagram to the question attached:
a) Discrete functions are known for their scatter plots as graphs and continuous functions have lines or curves as graphs. Since the graph shown is a line graph, hence the graph is a continuous graph
b) The domain of the graph is the input values along the x-axis. From the graph, we can see that the plane takes off at the origin and landed after 2hours 15minutes i.e. 2.25hours. Therefore, the domain of the graph is expressed as:
D = [0, 2.25]
The range of the graph is the output values along the y-interval. From the graph, we can see that the plane takes off at the origin and travels for a distance of 30,000 feet. Therefore, the range of the graph is expressed as:
R = [0, 30,000]
c) From the graph, we can see that the plane accelerated from the origin up to 30,000feet (this is an interval of increase). It shows the acceleration of the plane at this interval.
Then, there was a uniform/constant acceleration for 2 hours. At this point, the velocity of the plane is known to be constant but the time is changing (This is a constant phase).
Finally, the plane decelerated for 15 minutes. Deceleration is known as negative acceleration. This occurs when the plane begins to descend (This phase is the decreasing phase)
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