This math topic focuses on determining whether a given value of x results in a hole or a vertical asymptote in a rational function. Each question is centered around a different rational function presented in factored form. The critical task is to analyze whether these x-values cause the function to be undefined due to a vertical asymptote, or if they represent points that are removable (holes) in the graph of the function. These problems help to practice skills in interpreting the behavior of rational functions in relation to their algebraic expressions.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.