Blog Post #2

Part A

1) Google’s annual revenue from 2002 to 2013.

http://www.statista.com/statistics/266206/googles-annual-global-revenue/

2) A function is a relationship in which there is exactly one output per input. It can be represented as a graph, table, and formula or in words.

3) The chart above shows Google’s annual revenue, in billions, starting in the year 2002 and ending in the year 2013.

4) In the chart above, the relationship between each year and the revenue for each year is a function because for every output (revenue amount) there is exactly one input (year).

5) This function is not a linear function.

6) This function is not a linear function so the answer to this question is irrelevant.

7) This function is not a linear function because if you were to graph the numbers given on a coordinate plane, the line created will not be straight. To visualize in your head how the line is not straight, put a dot on the graph above at the top of each blue bar, then draw a line connecting the dots and you will notice it is a curvy line, not straight. Also, when I calculated the constant rate of change I computed answers that were not the same for each interval, proving that the line is not straight and that it is curvy.

8) This function is not a mathematical model because the output (revenue) is not dependent on the input (year). If R=revenue and T=year, then if this was a mathematical model, the function notation would be: R=f(T).

Part B

1) A relationship is not a function when there is more than one output per input. Also, when the values are graphed, the line created will not pass the vertical line test.

2) This graph represents NFL player Drew Brees' career statistics.
http://www.nfl.com/stats/statslab/details?statsType=player&playerId=BRE229498#seasonId=2014&seasonType=REG&position=QB&player1=BRE229498&player2=&player3=&player4=
3) The relationship in this graph is the input (TD, Int., Rate, Att., Comp., and Yds) and the output (year). In other words, for every year (output) there are multiple values for the TD, Int., Rate, Att., Comp., and Yds (input). 

4) This relationship is not a function because; on the graph there is more than one input (TD, Int., Rate, Att., Comp., and Yds) PER output, being each year. Each input results in multiple output values for that input. Simply there is more than one input per output. Whereas a function is defined as “a relationship that has exactly one output per input".