How do you find discontinuity algebraically?
Answers
The point of discontinuity refers to the point at which a mathematical function is no longer continuous. This can also be described as a point at which the function is undefined. If you are in an Algebra II class, it is likely that at a certain point in your curriculum, you will be required to find the point of discontinuity. There are multiple methods to do so, but all of them require an understanding of algebra and of simplifying or balancing equations
If the function factors and the bottom term cancels, the discontinuity at the x-value for which the denominator was zero is removable, so the graph has a hole in it. After canceling, it leaves you with x – 7. Therefore x + 3 = 0 (or x = –3) is a removable discontinuity — the graph has a hole, like you see in Figure a.