Holes vs asymptotes which one is it?

The video tutorial explains how to identify the domain of a function, focusing on discontinuities. It covers types of discontinuities, such as removable and non-removable, and how to determine if they are holes or vertical asymptotes. The tutorial also discusses simplifying functions to identify these discontinuities.

What is the domain of a function?

• All real numbers

• All real numbers except those that make the denominator zero

• All integers

• All positive numbers

Which of the following is a type of discontinuity?

• Exponential discontinuity

• Horizontal asymptote

• Removable discontinuity

• Linear discontinuity

How can you identify a hole in a function?

• By simplifying the function and seeing if terms divide out

• By finding where the function is undefined

• By looking for horizontal asymptotes

• By checking where the function is continuous

What is a vertical asymptote?

• A removable discontinuity

• A horizontal line

• A point where the function is continuous

• A non-removable discontinuity

Which type of discontinuity is non-removable?

• Hole

• Jump

• Vertical asymptote

• Horizontal asymptote