The domain of a rational function is the whole of the real numbers except those points where the denominator of the rational function, simplified if possible, is zero.
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The domain is a subset of the values for which the function is defined. The range is the set of values that the function takes as the argument of the function takes all the values in the domain.
Yes. Rational functions must contain rational expressions in order to be rational.
The domain of a function is simply the x values of the function
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You need to know the domain in order to find the range.