The criteria for determining whether a relationship is a function is if there is only one output to each input and that it passes the vertical line test.
I went on The Economist and found an article about house mortgages and there was a graph that showed the relationship between house mortgages of houses that exceed the home value and years. The function is not linear because the rate of change is inconsistent. The function is not a mathematical model because the mortgages of house does not depend on the year.
Part b:
the criteria for a relationship that is not a function is if there is more than one output to each input.
I read another article on The Economist about skills that are most helpful in different countries. The chart I used is not a function because there are more than one output to each input. This graph shows the relationship between countries and the usefulness of numeracy skills.
I really like your graph choices, theyre good examples of functions and non functions
ReplyDeleteerin,
ReplyDeletenice job on your first example! your explanations about functions, linear functions, and mathematical models are applied correctly. i want to point out, though, that your graph actually displays two separate functions. the blue line is one function and the red line is another. good job otherwise!
your second example shows relationships that ARE functions. the inputs are each country, outputs are the returns to numeracy skills. each country and return to numeracy skills represents and individual relationship and function.
professor little