Such functions are defined as one polynomial divided by another polynomial. Their properties include that they are defined at all points, except when the denominator is zero. Also, such functions are continuous at all points where they are defined; and all their derivatives exist at any point where they are defined.For more details, I suggest you read the Wikipedia article - or some other source - on "Rational function".
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what are the seven properties of rational numbers
Because they are represented as fractions.
Yes. Rational functions must contain rational expressions in order to be rational.
Sometimes :)
Any number or decimal number that can be expressed as fraction is rational.