Can the graph of a polynomial have vertical or horizontal asymptotes? Explain.

Solution: Step1 A polynomial has only nonnegative integer exponents, and have a domain of all real numbers... therefore, there are no vertical asymptotes and no horizontal asymptotes. Step2 F(x)= x^3-9x^2+15x+30 The definition of a vertical asymptote is that it's a discontinuity where F(x) grows without limit as x moves toward a finite value (e.g. when x=2). With a straight polynomial such as F(x)= x^3-9x^2+15x+30 there's no such value; whatever the ups and downs, it's a continuous function over the whole range of x.