Question 1173512
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Solve *[tex \LARGE 11x\ +\ 5y\ =\ 110] for *[tex \LARGE y] in terms of *[tex \LARGE x].  That is, add *[tex \LARGE -11x] to both sides and divide both sides by *[tex \LARGE 5]


The domain of a function is the set of values of the independent variable for which the function is defined, or in this case, for which the function makes sense.  Here, *[tex \LARGE x] cannot be less than zero because having a negative number of soccer teams would be absurd.  Furthermore, *[tex \LARGE x] must be an integer because having a fraction of a soccer team is also ludicrous.  *[tex \LARGE \frac{11}{5}x] must be less than or equal to 22, otherwise, you would have a negative number of basketball teams. And, *[tex \LARGE -\frac{11}{5}x\ +\ 22] must be an integer to avoid having a fractional number of basketball teams.


The upshot is that there are only three numbers in the domain, and therefore only three numbers in the range.  Two of these points are the intercepts, and I leave it to you to figure out the exact values.

																
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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