Point of discontinuity - Rational Functions
Point of discontinuity
Basic Concepts
- Factoring trinomials
- Polynomial synthetic division
Related Concepts
- Continuity
Lessons
Notes:
• "point of discontinuity" exists when the numerator and denominator have a factor in common.
i.e. ; points of discontinuity exist at and .
• To determine the coordinates of the point of discontinuity:
1) Factor both the numerator and denominator.
2) Simplify the rational expression by cancelling the common factors.
3) Substitute the non-permissible values of x into the simplified rational expression to obtain the corresponding values for the y-coordinate.
