Understanding Slant Asymptotes in Rational Functions

What condition must be met for a rational function to have a slant asymptote?

• The degree of the numerator is one more than the degree of the denominator.

• The degree of the numerator is equal to the degree of the denominator.

• The degree of the numerator is one less than the degree of the denominator.

• The degrees of the numerator and denominator are both even.

Which method is used to find the equation of a slant asymptote in a rational function?

• Factoring

• Completing the square

• Long division

• Synthetic division

When performing long division to find a slant asymptote, what should you do with the remainder?

• Add it to the quotient

• Ignore it as it approaches zero for large x

• Subtract it from the quotient

• Multiply it by the divisor

In the context of graphing, how is the slant asymptote represented?

• As a curve

• As a dashed or dotted line

• As a point

• As a solid line

What is the slope of the slant asymptote if the equation is y = x + 1?

• -1

• 2

• 1

• 0