Are endpoints of a graph discontinuities?

The video tutorial explains the concept of continuous and discontinuous graphs, focusing on how to identify and categorize discontinuities. It covers removable discontinuities, such as holes, and non-removable ones, like jump discontinuities and vertical asymptotes. The tutorial also discusses how these discontinuities affect the domain of a function and provides guidance on labeling them correctly.

What is a key characteristic of a continuous graph?

• It has a vertical asymptote.

• It has multiple breaks.

• It has a jump discontinuity.

• It can be drawn without lifting the pen.

Which of the following is a removable discontinuity?

• Vertical asymptote

• Jump discontinuity

• Horizontal asymptote

• Hole

What happens to a graph when a hole is introduced?

• It becomes continuous.

• It remains unchanged.

• It becomes discontinuous.

• It becomes a vertical asymptote.

Which type of discontinuity is never defined in the domain?

• Vertical asymptote

• Removable discontinuity

• Jump discontinuity

• Horizontal asymptote

How can a jump discontinuity be defined in the domain?

• By adding a point above it

• By removing the jump

• By making it a hole

• By adding a vertical asymptote