You can put this solution on YOUR website! Points of discontinuity, also called removable discontinuities, are moments within a function that are undefined and appear as a break or hole in a graph. A point of discontinuity is created when a function is presented as a fraction and an inputted variable creates a denominator equal to zero. Evaluating a function for points of discontinuity aids in solving and graphing the function.
For example:
if the expression is
rewrite the denominator expression as an equation set to zero
for this example, the denominator expression becomes the equation
solve the denominator's equation and you see that the function has a point of discontinuity when
as you can see, there is a break or hole in a graph when (I will draw a line to show you that line does not have any common points with a graph of given function
