Graphical Behavior
Graphical Behavior
Holes
A hole is a point on the graph where the value of the function is not defined. If the numerator and denominator of a rational function have a common factor, they will cancel when simplifying. The cancelled value creates a hole in the graph. To determine the x -coordinate of a hole, set the cancelled factor equal to zero and solve. To determine the y -coordinate, plug the x -value into the simplified function and solve.