Quiz on Finding Vertical Asymptotes of Rational Functions

What is the first step in finding a vertical asymptote of a rational function?

• Multiply the numerator and denominator

• Add a constant to the equation

• Simplify the equation if possible

• Set the numerator equal to zero

In the first example, what is the vertical asymptote of the function y = (x+1)(x-1) / (x+2)?

• x = -1

• x = -2

• x = 2

• x = 1

In the second example, what is the vertical asymptote of the function y = (x-4)(x-2) / (x-3)?

• x = 4

• x = -4

• x = 3

• x = -3

When factoring both the numerator and denominator, what is the result for the vertical asymptotes in the third example?

• x = 2 and x = 3

• x = -2 and x = -3

• x = 2 and x = -3

• x = -2 and x = 3

What should you do if you have multiple factors in the denominator?

• Set each factor equal to zero

• Add them together

• Ignore them

• Multiply them by the numerator