A.
I chose an article on Tom Brady's passing yards over the past couple years.
A function is a mathematic relationship involving variables. For every input there is only one output.
3.
The function here is between passing yards and the time. Passing yards are a function of each year. The function is not linear, it rises and fall independently based on Tom Brady. The slope is not constant then, as it varies year to year. This means it's not a mathematical model. This is because the inputs have no effect on the outputs.
B.
Here is a graph of US housing values. Relationships are not functions when the input has no effect on the output, or there are more than one outputs for one input. Such is here with this graph, as the values of the home are unaffected by the year. This relationship is between property values after 1990, and the year. Since there is no correlation, this cannot be a function.
Interesting... However, for part B, I could make the argument that the value of a home is indeed affected by the year. As your home ages through the years, the value can lower depending on the physical state of the home. Nonetheless, great job & the cheers to Brady and Edelman!
ReplyDeleteGood, the graph and chat is clear, I agree with you on the part one that it is not a linear function since their slope is not constant.
ReplyDeleteI agree with your argument that part 1 is not a linear function, because the values do not increase marginally by a constant rate. Excellent work, although I can't say I like the QB choice because I am a Seahawks fan. It's still a sensitive topic, unfortunately. :P
ReplyDeletejonathan,
ReplyDeletei like that you used a sports example! the definition for a function is that one output has exactly one input and not visa versa. the rest of your explanations for the first example are done well, except you forgot to express the relationship using function notation.
your second graph shows a relationship that is a function. there is exactly one output per input. so it is not a non function.
since this post was two days late it will lose two points.
professor little