In this lesson you explored what happens on the graph of a rational function when it has a factor equal to 0 that occurs only in the numerator, only in the denominator, and in both the numerator and the denominator. If the 0 is only in the numerator, an x-intercept occurs. If the 0 is only in the denominator, an asymptote occurs. If the 0 shows up in both the numerator and denominator, a point of discontinuity occurs.
In the next lesson you will explore how the characteristics of a rational function can be used to sketch the function’s graph.