Determine the domain of a rational function by factoring the denominator

The video tutorial explains how to rewrite a trinomial as a product and apply the zero product property to identify constraints. It demonstrates graphing discontinuities on a number line and concludes with a recap of the lesson.

What is the first step in rewriting a trinomial as a product?

• Find the roots of the trinomial

• Rewrite the trinomial as a product

• Rewrite the trinomial as a sum

• Identify the coefficients

Which property is used to determine the values that make the denominator zero?

• Distributive Property

• Zero Product Property

• Commutative Property

• Associative Property

What are the values of x that create discontinuities in the function?

• x = -6 and x = 0

• x = 1 and x = -6

• x = 6 and x = -1

• x = 0 and x = 1

How are discontinuities represented on a number line?

• Closed circles

• Open circles

• Solid lines

• Dashed lines

What is the interval notation for the continuity of the function?

• (-∞, -6) ∪ (-6, 1) ∪ (1, ∞)

• (-∞, 0) ∪ (0, 6) ∪ (6, ∞)

• (-∞, 1) ∪ (1, 6) ∪ (6, ∞)

• (-∞, -1) ∪ (-1, 6) ∪ (6, ∞)