How to determine the domain of three different parent functions

The video tutorial explains the concept of domain in mathematical functions, focusing on identifying the set of all possible input values (X values) that can be used in a function. It covers domains without restrictions, such as all real numbers, and domains with restrictions, like those involving square roots and rational functions. The tutorial also introduces interval notation for expressing domains and discusses complex scenarios where multiple conditions affect the domain.

What is the definition of the domain in a function?

What is the domain of the function F(X) = X^2 when considering real numbers?

What restrictions apply to the domain of a function involving square roots?

How do you determine the domain of a radical function?

What is the significance of identifying values that make the denominator zero in rational functions?

Explain why the domain of the function F(X) = 1 / (X - 2)(X + 3) excludes certain values.

How would you express the domain of a function in interval notation?