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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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10y ago

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Related Questions

What are the properties of rational numbers?

what are the seven properties of rational numbers


Why are rational functions called rational functions?

Because they are represented as fractions.


If the equation of a rational function is a rational expression is the function rational?

Yes. Rational functions must contain rational expressions in order to be rational.


If the equation of a function is a rational expression the function is rational.?

Yes. Rational functions must contain rational expressions in order to be rational.


If the equation of a function is a rational expressions the function is rational?

Yes. Rational functions must contain rational expressions in order to be rational.


If the equation of a function is a rational expression is the function rational?

Yes. Rational functions must contain rational expressions in order to be rational.


What is rational values?

Rational values- those are necessary to the functions and fulfillment of intellect and will.


How could I compare and contrast rational and polynomial function properties?

Rational functions are ratios of two polynomial functions, which means they can exhibit unique behaviors such as asymptotes and discontinuities, while polynomial functions are continuous and smooth curves without breaks. Both types can have similar characteristics, such as degree and leading coefficient, which influence end behavior and intercepts. However, rational functions can approach vertical and horizontal asymptotes, while polynomial functions do not; they continue to rise or fall indefinitely. Ultimately, understanding these differences helps in analyzing their graphs and behaviors in various contexts.


Are logarithmic functions rational expressions?

Sometimes :)


Which of the following rational functions is graphed below?

a


What is a rational equation or rational function?

It is any function which can be written as the ratio of two polynomial functions.


What are the properties of the operation rational number?

Any number or decimal number that can be expressed as fraction is rational.