# Polynomials The domain of $f(x)=a_nx^n+a_{n-1}x^{n-1}$ > All exponent values of polynomial functions must be **non negative** integers **Degree:** The degree is the highest exponent in a function --- # Rational Functions > **Ratio**-nal Functions [[Rational Functions]] are fraction containing a polynomial in bot the numerator and denominator, essentially being a "ratio" of two polynomial functions. --- ### Shortcuts for Finding Horizontal Asymptotes 1. If the degree of the numerator is **less than** the degree of the denominator, then the horizontal asymptote is $y=0$. 2. If the degree of the numerator is **equal to** the degree of the denominator, then the **horizontal asymptote is $y=\textrm{ratio of the leading coefficient}$**. 3. If the degree of the numerator is **greater than** the degree of the denominator, there is **no horizontal asymptote**.