Understanding Horizontal Asymptotes in Rational Functions

What is the horizontal asymptote when the highest powered terms in the numerator and denominator have the same exponent?

• y = 0

• y = x

• y = a/b, where a and b are the coefficients of the highest powered terms

• There is no horizontal asymptote

If the degree of the numerator is less than the degree of the denominator, what is the horizontal asymptote?

• y = 0

• y = x

• y = 1

• There is no horizontal asymptote

In the first example, what is the horizontal asymptote when both the numerator and denominator have the same degree?

• y = 1/2

• y = 2

• y = 1

• y = 0

What is the horizontal asymptote in the second example where the denominator's degree is higher than the numerator's?

• y = 1

• There is no horizontal asymptote

• y = 1/2

• y = 0

What type of asymptote is present when the numerator's degree is exactly one higher than the denominator's degree?

• Horizontal asymptote

• Slant asymptote

• No asymptote

• Vertical asymptote