How to find the vertical and horizontal asymptotes of a rational function

What is the difference between a removable and a non-removable discontinuity?

• A removable discontinuity is an asymptote, while a non-removable discontinuity is a hole.

• A removable discontinuity is a hole, while a non-removable discontinuity is an asymptote.

• Both removable and non-removable discontinuities are asymptotes.

• Both removable and non-removable discontinuities are holes.

How can you identify a hole in a rational function?

• By finding where the denominator equals zero and the factor cancels out.

• By finding where both the numerator and denominator equal zero.

• By finding where the denominator does not equal zero.

• By finding where the numerator equals zero.

What is the vertical asymptote of the function if the discontinuity is at x = -4?

• x = 4

• x = -4

• x = 0

• x = 1

What is the horizontal asymptote when the degree of the denominator is greater than the degree of the numerator?

• y = 1

• y = 0

• y = x

• y = -1

When the degree of the numerator is greater than the degree of the denominator, what happens to the horizontal asymptote?

• It becomes y = -1.

• It becomes y = 0.

• It becomes y = 1.

• It does not exist.