Identify any Horizontal or Vertical Asymptotes of a Rational Function

What is the first step in determining the horizontal asymptote of a rational function?

• Find the roots of the numerator

• Compare the coefficients of the leading terms

• Check if the function is continuous

• Compare the exponents of the polynomials

When does a rational function not have a horizontal asymptote?

• When the degree of the numerator is less than the denominator

• When the degree of the numerator is equal to the denominator

• When the degree of the numerator is greater than the denominator

• When the function is not defined at x = 0

What type of asymptote might be present if there is no horizontal asymptote?

• Curved asymptote

• No asymptote

• Slant or oblique asymptote

• Vertical asymptote

How do you determine the vertical asymptote of a rational function?

• Check the limits at infinity

• Set the numerator equal to zero

• Set the denominator equal to zero

• Find the derivative of the function

What is the domain of a rational function with a vertical asymptote at x = -1?

• All real numbers

• All real numbers except x = -1

• All real numbers except x = 0

• Only x = -1