What's Your Function?
- The meaning of this relationship is that is shows the changes in newspaper advertising revenue over the years. It also represents a function. It represents a function first off because it passes the vertical line test. The second reason is that for each input (year), there is only one output (revenue).
- This function is not a linear function. I know it is not a linear function because it does not represent a straight line in the above graph.
- I know it is not a linear function right off because it is not a straight line. The graph is curved and never decreasing or increasing the whole time. The rate of change would not be consistent.
- This function, however, is a mathematical model. It looks as if the amount of advertising revenue is directly dependent on the year it is. the function notation of this would be r= f(y). In that case "r" stands for revenue and "y" stands for year.
- The meaning of this relationship is that it doesn't represent a relationship. It shows how the earnings from a Bachelors degree does not match up with the increasing cost of college tuition.
- I know this relationship because it does not pass the vertical line test. For each input there are multiple outputs. That is why this isn't a function.
Ian, great post. I think your analysis of Part A and B really brings to light the differences between the function and non-function. Especially when you explain how the Part B fails the vertical line test. Good job!
ReplyDeleteIan, your post was very helpful and well written. You made it clear as to why the first graph was not a linear function.
ReplyDeleteGreat job on this post! I too chose an example that was not linear and therefore had no consistent rate of change. I specifically find the drastic decrease in Newspaper Ad Revenue between 2000 and 2010. I wonder why this is. I'm assuming it may have something to do with the decrease in print newspapers...which makes me wonder if they are accounting for digital advertising revenue.
ReplyDeleteian,
ReplyDeleteyou first example is great! you explained all the variables in great detail and accurately noted why the relationship is a function.
your second example, however, does not meet the criteria for a relationship that is not a function. there are two separate relationships here relative to time, and both relationships pass the vertical line test.
professor little