# Point of discontinuity

## Everything You Need in One PlaceHomework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered. | ## Learn and Practice With EaseOur proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals. | ## Instant and Unlimited HelpOur personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now! |

#### Make math click 🤔 and get better grades! 💯Join for Free

Get the most by viewing this topic in your current grade. __Pick your course now__.

##### Examples

###### Lessons

**Investigating How a Point of Discontinuity Appears on a Graph**

Sketch and compare the following two functions:

i) $f\left( x \right) = 2x + 5$

ii) $g\left( x \right) = \frac{{2{x^2} + 11x + 15}}{{x + 3}}$**Sketching Rational Functions Incorporating Asymptotes and Points of Discontinuity**

Sketch the rational function: $f\left( x \right) = \frac{{2{x^2} - 7x + 5}}{{2{x^3} - 11{x^2} + 19x - 10}}$