Blog #2 Jessica Lewinson
Part A
1. Find an online periodical, not a math periodical, economics is fine, however.
- The Arctic sea ice extent and how it changes throughout each month.
- http://nsidc.org/arcticseaicenews/2007/10/
2. Recall the criteria for determining relationships that are functions.
- The equation only has one output for every input.
- When the function is graphed it must pass the vertical line test.
3. Search the periodical for a relationship that represents a function (in graph, table, or formula format)
Month- x Amount of ice (Km)-y
July 8.5
August 5
September 4
October 7.5
November 8
4. Explain in words the meaning of this relationship.
- This table represents the amount of ice that exists throughout the different months and the correlation between the two.
5.
-No, this function is not a linear function. There is not a consistent slope.
6. Not linear
7. The slope is inconsistent- shown with slope formula y2-y1/x2-x1
ex: 8.5-5/7-8 = -3.5
5-4/8-9= -1
4-7.5/9-10= 3.5
7.5-8/10-11= .5
8. Determine whether the function is a mathematical model
- This is a mathematical function because the amount of ice is dependent on the time of year.
- Function notation: amount of ice=f(month)
Part B
1. Recall the criteria determining relationships that are not functions
-More then one output for each input
-Fails the vertical line test
2. Find an online periodical with a relationship that is not a function.
-http://healthveda.com/how-to-get-a-flat-tummy-7345
Women Height vs Weight (avg)
Height Weight
4'10 100-121
4'11 111-123
5'0 113-126
5'1 115-129
5'2 118-132
3. Explain the meaning of this relationship.
- The chart shows the average weights for a girl of that specific height.
4. Explain in detail how you know this relationship is not a function.
- Since the Y value is a range, it is possible to have more than one output for each input. Because weight is dependent upon lots of values and not just height we know that there isn't just one weight for each height. Someone who is 4'10 could easily fit into the average weight rang for people who are 4'10, 4'11, 5'0,5'1, and possibly higher and lower!
The arctic never seemed colder....
ReplyDeleteYou picked really relevant data. Nice!
ReplyDeletethe amount of ice is crazy!
ReplyDeletehi, jess,
ReplyDeletei really like your first example a lot. very detailed explanations especially in your first example. good job of remembering function notation and i like that you showed ROC calculations to confirm linearity. nice job!
professor little