1. This graph is the relationship between the annual income from before, during, and after the recession in the US. This graph depicts the household income of times after the recession. The household demographics give people a better visual of how much the recession effected different house incomes.
2. This is not a liner function because it does not make a straight line on the coordinate plane. The graph goes up and down inconsistently, which would not be the case if it were a linear equation.
3. This function is a mathematical model, because the outputs are dependent on the inputs. From looking at the graph, the income rates of dollars are dependent on the years of when it happened. The function notation of this would be (Y) for years, which is the input and (I) for income which is the output. I = f(Y)
Part 2.
This is not a function because the relationship between the lines do not depend on each other. This graph fails the vertical line test, therefore is not linear. The input and the output of this graph (which are 1, 1 and -1, 1) do not depend on each other and that is one of the biggest factors of the overall function.
I think using a parabola is one of the best ways to give an example of something that is not a function. It fails the vertical line test at every point besides its origin. Good example!
ReplyDeleteI agree with Caitlyn. Additionally, I would be interested to identify a real world example that could correspond with this graph and create this relationship.
ReplyDeleteI think that having some kind of graph in this assignment is helpful because it provides a way to see the relations and how they are or not functions. I would also agree that I would have liked to see at least one application of the parabola in real life
ReplyDeleteIt would be nice to see what explains some of the micro-peaks post-recession. Like the one in the middle of 2011, for example.
ReplyDeletenina,
ReplyDeletevery nice job with your first example. your explanations are accurate and well versed, plus the topic is very interesting!
your second example indeed does not meet the criteria for a function, however, the main objective of this assignment was to find an article or real world situation that depicts a relationship that is not a function. there is no explanation or correlation given for how this graph relates to a real life scenario.
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