3 . Explain why each of the following rational function scenarios is true . ( Hint : Think about what the rational function would reduce to at or near the value that makes the specified factor* equal to zero. ) a . If a particular factor occurs in the numerator , but not in the denominator , there is a Corresponding zero of the function . b . If a particular factor occurs in the denominator , but not in the numerator , there is a corresponding vertical asymptote on the graph of the function . C. If a particular factor occurs in both the numerator and denominator , there is a corresponding point of discontinuity on the graph of the function