# Are all polynomials rational functions? Are all algebraic functions polynomials? Question
Rational functions Are all polynomials rational functions? Are all algebraic functions polynomials? 2020-11-07
It is known that all polynomials are not rational functions.
Example:
Consider the function $$f(x)=pi$$. This, function is a polynomial but it cannot be written in the form of a rational function.
Hence, all polynomials are not rational functions.
Step 2
No, not all algebraic functions are polynomials.
If an algebraic expression has a radical, then it cannot be a polynomial.

### Relevant Questions Identify each of the following functions as polynomial, rational, algebraic, or transcendental
$$f(x)=(2x^3+3x)/(9-7x^2)$$ What are the Limits at Infinity of Rational Functions? Construct a rational function whose domain is all real numbers. Provide evidence as to why the domain of your rational function is all real numbers. Use the Rational Zero Theorem to list all possible rational zeros for the function $$f(x) = x^3 + x^2 - 4x - 4$$. prove that for all rational numbers r and s, rs is rational True or False. The domain of every rational function is the set of all real numbers. Given that Domain of the rational function is all real numbers.
So the rational function should not contain denominator part. What are the cut points of a rational function? Explain how to solve a rational inequality.
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Step 2
Calculus homework question answer, step 2, image 1
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