How to evaluate the right hand limit at an asymptote

The video tutorial discusses rational functions, focusing on discontinuities and asymptotes. It explains how to identify limits from the right and the behavior of asymptotes. The instructor emphasizes the importance of understanding basic graphs without relying on calculators and provides tips for graphing functions accurately. The tutorial also covers analyzing limit behavior from both right and left-hand perspectives, concluding with a recommendation to review basic graphing skills.

What type of discontinuity is present in the function 1/(x-3)?

• Horizontal asymptote

• Vertical asymptote

• Removable hole

• Jump discontinuity

What is the behavior of the function 1/(x-3) as it approaches 3 from the right?

• Approaches positive infinity

• Approaches negative infinity

• Remains constant

• Approaches zero

Which of the following is a characteristic of a reciprocal function?

• It is one of the 12 basic functions

• It is a polynomial function

• It has a constant slope

• It is always increasing

Why is it important to use parentheses when graphing 1/(x-3) on a calculator?

• To avoid syntax errors

• To change the function's domain

• To make the graph look nicer

• To ensure the correct order of operations

What is the result of the general limit of 1/(x-3) as x approaches 3?

• The limit is zero

• The limit does not exist

• The limit is negative infinity

• The limit is positive infinity