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.

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.