2.13 Further rational functions Quiz

1. The vertical asymptotes of $y = \frac{x - 1}{x^{2} - 9}$ are

• A. $x = 3$ and $x = -3$
• B. $x = 9$
• C. $x = 1$
• D. $x = 3$ only

2. The oblique asymptote of $y = \frac{x^{2} + x + 3}{x + 1}$ is

• A. $y = x$
• B. $y = x + 1$
• C. $y = x + 2$
• D. $y = x - 1$

3. How many vertical asymptotes does $y = \frac{3x}{x^{2} + 4}$ have?

• A. $0$
• B. $1$
• C. $2$
• D. $3$

4. Which statement about $y = \frac{x - 2}{x^{2} + 1}$ is true?

• A. It crosses its horizontal asymptote at x = 2
• B. It has an oblique asymptote
• C. Its horizontal asymptote is y = 1
• D. It has a vertical asymptote at x = −1

5. The $y$-intercept of $y = \frac{x^{2} - 4x + 6}{2x - 3}$ is

• A. $(0, -2)$
• B. $(0, 2)$
• C. $(0, 6)$
• D. $\left(0, \frac{3}{2}\right)$