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 happens when you try to plug in a value that makes the denominator zero in a function?

• The function becomes infinite.

• The function becomes negative.

• The function becomes undefined.

• The function becomes zero.

What is the result of factoring the expression 2X - 5 * X + 1 over X + 1?

• X - 5

• 2X + 5

• X + 1

• 2X - 1

What is a 'hole' in the context of graphing a function?

• A point where the function changes direction.

• A point where the function is zero.

• A point where the function is undefined.

• A point where the function is infinite.

Why is it important to know where holes exist in a graph?

• Because holes show where the function is zero.

• Because graphing calculators do not show holes.

• Because holes are where the function is continuous.

• Because holes indicate maximum points.

What value does the graph approach from both sides of a hole?

• 5

• 1

• -6

• 0