Learn how to determine the vertical asymptotes of a rational function

The video tutorial covers the process of identifying and working with asymptotes in algebraic expressions. It begins with a brief introduction and setup, followed by a discussion on factoring and identifying discontinuities. The tutorial then explains how to find vertical asymptotes using the zero product property and concludes with techniques for graphing these functions without a calculator, emphasizing the use of tables and visualization.

Why is it important to factor expressions before solving mathematical problems?

• To make the problem more complex

• To simplify the problem and find solutions more easily

• To increase the number of solutions

• To avoid using a calculator

What type of discontinuity is associated with vertical asymptotes?

• Horizontal discontinuity

• No discontinuity

• Non-removable discontinuity

• Removable discontinuity

How can you find vertical asymptotes in a rational function?

• Set the denominator equal to zero

• Set the numerator equal to zero

• Integrate the function

• Find the derivative of the function

What is the best method to graph a function without a calculator?

• Estimate the graph by looking at the equation

• Use a protractor to measure angles

• Create a table of values

• Use a ruler and draw freehand

When plotting points for graphing, how many points should you choose around each asymptote?

• Three points on each side

• Two points on each side

• One point on each side

• Four points on each side