Write the domain in interval notation of a rational function

The video tutorial explains how to determine the domain of a function, focusing on restrictions caused by variables in the denominator. It demonstrates finding values that make the denominator zero, which are excluded from the domain. The tutorial also covers how to express the domain in interval notation and discusses the potential graphical implications, such as holes or asymptotes. Finally, it emphasizes the importance of analyzing graphs to ensure comprehension.

What is the typical range of a function's domain if there are no restrictions?

• From 0 to 1

• From negative infinity to infinity

• From -10 to 10

• From 1 to 100

Why can't a variable in the denominator be equal to zero?

• It would make the function negative

• It would make the function undefined

• It would make the function equal to zero

• It would make the function infinite

What value of x makes the denominator zero in this context?

• x = 3/2

• x = 1

• x = 2

• x = 0

How is the domain expressed in interval notation when excluding a specific value?

• Using a semicolon

• Using a comma

• Using the union symbol

• Using brackets

What might be present at the point where the function is not defined?

• A peak

• A valley

• A hole or an asymptote

• A plateau