How to find the domain of a rational equation

The video tutorial explains how to determine the domain of a function, focusing on the concept of implied domain and restrictions due to denominators. It emphasizes that the domain is all real numbers unless the denominator equals zero, which is not allowed. The tutorial guides viewers on solving for the domain by setting the denominator to zero and using interval notation to express the domain, highlighting the use of union to connect intervals.

What is the implied domain of a function if no restrictions are given?

• Only integers

• All real numbers

• All negative numbers

• All positive numbers

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

• It has no effect on the function

• It simplifies the function

• It results in an undefined value

• It makes the function continuous

What value of X makes the denominator zero in the given function?

• X = 3

• X = 0

• X = 5

• X = -3

How is the domain of a function written in interval notation when excluding a specific value?

• Using a union to connect intervals

• Using brackets around the excluded value

• Using a comma to list all values

• Using a slash to separate intervals

What does the union symbol in interval notation represent?

• The subtraction of one interval from another

• The connection of two intervals

• The exclusion of a value

• The intersection of two sets