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Which inputs must be left out of the domain of a rational function?
AThose making the numerator 0
BThose making the denominator 0
CThose making the output negative
DThose making the input negative
Answer & Solution
Correct answer: B. Those making the denominator 0
1. A rational function divides one polynomial by another.
2. Division by zero is undefined, so any input that makes the denominator 0 has no output.
3. The domain is therefore every real number except those values.
4. Inputs that make the numerator 0 are fine, since they simply give an output of 0.
_Source: OpenStax Precalculus (CC BY 4.0), section 3.7 Rational Functions_
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