Domain of a rational function by factoring

The video tutorial explains how to determine the domain of a function by focusing on when the denominator equals zero, as the numerator's continuity does not affect the domain. It covers factoring quadratic equations to find values that make the denominator zero, rendering the function undefined. The tutorial also demonstrates how to represent the domain using a number line and the union symbol, emphasizing the importance of understanding these concepts for solving equations.

What is the primary concern when determining the domain of a function?

• The numerator being zero

• The denominator being zero

• The numerator being continuous

• The function being linear

When factoring a quadratic trinomial, what is the first step?

• Find two numbers that multiply to the constant term

• Identify the zero product property

• Factor out any common factors

• Set the equation equal to zero

What does it mean when a function's denominator equals zero?

• The function is continuous

• The function is undefined

• The function is linear

• The function is quadratic

How is the domain of a function expressed when using a number line?

• Using closed circles for all values

• Using open circles for excluded values

• Using arrows for infinite values

• Using brackets for all values

What symbol is commonly used to express the union of domain intervals?

• Multiplication symbol

• Union symbol

• Addition symbol

• Intersection symbol