The video tutorial covers the concept of domain and range in mathematics, focusing on how to determine the domain of functions. It begins with an introduction to domain and range, explaining that domain refers to the set of possible X values, while range refers to Y values. The tutorial uses the function X^2 to illustrate that its domain is all real numbers, as any real number can be squared. The instructor then explains how to find the domain of more complex functions by identifying values that are not in the domain, using inequalities to solve for valid X values. The video concludes with examples of solving domain inequalities and writing them in interval notation.

What does the domain of a function represent?

• The set of all possible Z values

• The set of all possible output values

• The set of all possible Y values

• The set of all possible input values

Why is the domain of X^2 all real numbers?

• Because X^2 has no real solutions

• Because X^2 is a linear function

• Because any real number can be squared to produce an output

• Because X^2 is a constant function

What is often easier to determine when finding the domain of a function?

• What is in the domain

• What is not in the domain

• The range of the function

• The slope of the function

What does the inequality 3X - 1 >= 0 help determine?

• The range of the function

• The slope of the function

• The domain of the function

• The intercept of the function

How can the domain X >= 1/3 be expressed in interval notation?

• (1/3, ∞)

• (-∞, ∞)

• [1/3, ∞)

• (-∞, 1/3)

What value is not in the domain of the function 3X - 1 >= 0?

• 0

• 1/3

• 1

• 2

What is the purpose of testing a value not in the domain?

• To find the intercept

• To confirm the domain

• To check the slope

• To verify the range