Tom defines $x$ as a year between $2008$ and $2013$ and $y$ as the total number of smartphones sold that year (in millions). The given graph shows the values of $x$ and the corresponding values of $y$ .

What can we conclude from this graph?

The graph represents neither a functor nor a relation.

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The graph represents a function.

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The graph represents both function and relation.

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The graph represents a relation.

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Solution

The correct option is C The graph represents both function and relation.

There are 6 points plotted on the graph, i.e., $6$ ordered pairs $= (2008, 12), (2009, 18), (2010, 42), (2011, 90), (2012, 125), (2013, 90)$
A relation is defined as the relationship between sets of values.
Each input is related to one output.
Hence, the given graph represents both relation and function.

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Number of smartphones in millions (y)	3.7	17.3	42.4	90	125	153.2

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Tom defines x as a year between 2008 and 2013 and y as the total number of smartphones sold that year (in millions). The given graph shows the values of x and the corresponding values of y. What can we conclude from this graph?

Tom defines $x$ as a year between $2008$ and $2013$ and $y$ as the total number of smartphones sold that year (in millions). The given graph shows the values of $x$ and the corresponding values of $y$ .

What can we conclude from this graph?