Point of discontinuity

Lessons

1. 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) $g\left( x \right) = \frac{{2{x^2} + 11x + 15}}{{x + 3}}$
2. Sketching Rational Functions Incorporating Asymptotes and Points of Discontinuity
   Sketch the rational function: $f\left( x \right) = \frac{{2{x^2} - 7x + 5}}{{2{x^3} - 11{x^2} + 19x - 10}}$