Blog Post 2

Part a

1) http://www.statista.com/statistics/240381/nba-finals-tv-ratings-in-the-united-states/

2) A function is a relationship that has exactly one output per input.

3) The relationship between the number of viewers and the year of the championship is a function.

4) In this graph, you can see it is a function because there is one output for every input. There is one specific amount of viewers for every year represented on this graph.

5) This function is not a linear function

6) Not applicable

7) I know this is not a linear function because there is no a constant rate of change. You can determine this by taking two random numbers from the graph and finding the rate of change. Then you compare that rate of change with the rate of change from two separate years. For example, the rate of change from years 2002 to 2005 is (-1.5) whereas the rate of change from years 2007 to 2013 is (.323).

8) It is not a mathematical model, because the output value is not directly affected by the input value. The year does not determine how many viewers there will be.

Part b

1) A relationship is not a function if there is more than one output value per input value. Also, if it does not pass the vertical line test, it is not a function.

2) http://www.nhs.uk/Livewell/healthy-living/Pages/height-weight-chart.aspx

3) This chart is comparing people’s height to their weight.

4) This is not a function because there is more than one output per input. For example, someone who is 6 feet tall could weigh 120 pounds, or 200 pounds. There are multiple weights for each height.