How to find the vertical asymptotes of a rational function

The video tutorial explains how to identify discontinuities in rational expressions by setting the denominator to zero. It covers the identification of vertical asymptotes and the importance of factoring expressions to determine non-removable discontinuities. The tutorial emphasizes simplifying rational expressions to identify any removable discontinuities or holes.

What is the primary cause of discontinuities in a rational expression?

• When the denominator is zero

• When the expression is undefined

• When the numerator is zero

• When both numerator and denominator are zero

Which values of x cause the function to have vertical asymptotes?

• x = -1 and x = 1

• x = 0 and x = 1

• x = -3 and x = 3

• x = -2 and x = 2

Why are the values x = -2 and x = 2 considered vertical asymptotes?

• Because they simplify the expression

• Because they make the numerator zero

• Because they make the denominator zero

• Because they are removable discontinuities

What is the purpose of factoring a rational expression?

• To identify removable discontinuities

• To change the expression to a polynomial

• To find the horizontal asymptotes

• To simplify the expression and identify non-removable discontinuities

What should be done whenever you have a rational expression?

• Multiply by the denominator

• Divide by the numerator

• Simplify the expression

• Always add a constant