Evaluate the limit at a hole by factoring

The video tutorial explains why plugging in -1 into a function is undefined due to zero in the denominator. It emphasizes the importance of graphing and algebraic properties, particularly factoring trinomials to identify holes in functions. The tutorial demonstrates how to interpret graphs and highlights the significance of understanding algebraic concepts to identify holes and asymptotes. It concludes by discussing the importance of approaching values from both sides of a hole and ensuring students understand these concepts.

What value do we approach from the left and right when there is a hole at -1?

What is the significance of intercepts in relation to holes in a function?