# problem with polynomial functions (charts)

As for calculating a function's range and domain, the domain of a polynomial with real coefficients is all real numbers. If the function is of the form $\frac{f(x)}{g(x)}$ where both f(x) and g(x) are polynomials, then the domain is all real numbers except the roots of g(x) (values of x that make g(x) = 0). The range of a function is equal to all real numbers that can be output by the function. Polynomials with odd degree have a range of all real numbers. Polynomials with positive even degree have a range equal to either $[inf (f(x)), \infty)$ or $(-\infty, sup (f(x))]$, depending on whether the coefficient of $x^n$, where n is the degree of the polynomial, is positive or negative.