The video tutorial explains the concept of domain in functions, emphasizing that graphs extend indefinitely and any real number can be an input. It discusses how to determine the domain by identifying values that make a function undefined, particularly in rational functions where the denominator becomes zero. The tutorial also covers factoring to find solution sets and demonstrates how to write domain in interval notation, excluding specific values that make the function undefined.

What is the domain of a graph that extends indefinitely?

• All real numbers

• Numbers between -10 and 10

• Only negative numbers

• Only positive numbers

For the function y = x^2, which of the following is true about its domain?

• It includes all real numbers

• It includes only integers

• It includes only positive numbers

• It includes only negative numbers

What happens to a function when its denominator becomes zero?

• The function remains unchanged

• The function becomes infinite

• The function equals zero

• The function becomes undefined

How can you find the values that make a rational function undefined?

• Set the numerator to zero

• Set the function to infinity

• Set the denominator to zero

• Set the entire function to zero

In interval notation, how is the domain of a function that excludes specific numbers represented?

• By listing all numbers

• By using only positive numbers

• By using union to exclude numbers

• By using brackets for all numbers