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Chapter 8

# Acting Rationally with Functions

In This Chapter Showing domain and range with asymptotes of rational functions Checking out removable discontinuities Going to the limit with limits Graphing rational functions

A rational number is a number that has a fractional basis — you can write it as a fraction with an integer in both the numerator and the denominator (except that the denominator can’t be 0). When the denominator of a rational number is a 1, then the number is an integer, too. For example, , , or are rational numbers. The 10 divided by 2 is equal to the integer 5, and the negative 6 divided by 1 is an integer. All integers are rational numbers, but not all rational numbers are integers.

You can construct a rational function by putting a polynomial in both the numerator ...

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