McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
Study Guide and Review
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Exercise 19 Page 736

We are told that Katelyn paid for pizza and soda for her study group. The cost per person can be found using the given function.
In this function, is the number of the people in the study group. Note that this is a rational function. To graph it, let's make a table of values. We will exclude non-positive values since the number of people cannot be negative or zero.

Now, we can plot the obtained points and connect them with a smooth curve to graph the given function.

Note that as increases, approaches This is reasonable because, as the number of people increases, the cost per person gets closer to Therefore, the horizontal asymptote is at Additionally, looking at the graph, we can observe that there is also a vertical asymptote at

Extra

Discontinuous function
Recall that is the number of people in the study group. Therefore, the cost function is a discontinuous function because it is defined only for integer values of
However, in our case, we connected the points with a smooth curve to describe the horizontal and vertical asymptotes.