Vertical Asymptotes (4.9.1)

Question 1

• A vertical asymptote is a vertical line that the graph of a function approaches but never touches.

Answer 1

• A vertical asymptote is a vertical line that the graph of a function approaches but never touches.

Question 2

• To find the vertical asymptotes of a rational function:

1. Cancel any common factors in the numerator and denominator to put the fraction in lowest terms.
2. Set the denominator equal to 0 and solve for x.

Answer 2

• To find the vertical asymptotes of a rational function:

1. Cancel any common factors in the numerator and denominator to put the fraction in lowest terms.
2. Set the denominator equal to 0 and solve for x.