Learning Resources

Investigation3: Discontinuities and Vertical Asymptotes

• Zeros for the denominator correspond with values of x for which the function is not defined.
• If the factor that gives the zero occurs in the numerator to an equal or greater power than it does in the denominator, then the function has a point of discontinuity for that value of x.
• If the factor that gives the zero does not occur in the numerator to an equal or greater power than it does in the denominator, then the function has a vertical asymptote for that value of x.