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.

How can you use inverse operations from algebra to find values that make the denominator zero?

What is the significance of the value three halves in relation to the domain of the function?

What does it mean when a function has a hole or an asymptote at a certain value?

How do you determine if a function is continuous at a certain point?

Explain how to express the domain of a function that has a restriction.