2.8 Reciprocal and simple rational functions Quiz

1. Which is the horizontal asymptote of $y = \frac{4x - 1}{2x + 3}$?

• A. $y = 2$
• B. $y = -\frac{1}{3}$
• C. $y = -\frac{3}{2}$
• D. $y = \frac{1}{2}$

2. Which is the vertical asymptote of $y = \frac{4x - 1}{2x + 3}$?

• A. $x = \frac{3}{2}$
• B. $x = -\frac{3}{2}$
• C. $x = \frac{1}{4}$
• D. $x = 2$

3. Where does $y = \frac{x + 6}{x - 3}$ cross the $y$-axis?

• A. $(0, 6)$
• B. $(0, -6)$
• C. $(0, -2)$
• D. $(0, 2)$

4. If $f(x) = \frac{1}{x}$, what is $f(f(f(2)))$?

• A. $2$
• B. $\frac{1}{8}$
• C. $8$
• D. $\frac{1}{2}$

5. Which function has asymptotes $x = 1$ and $y = 5$?

• A. $\frac{5x}{x - 1}$
• B. $\frac{x - 1}{5x}$
• C. $\frac{5x}{x + 1}$
• D. $\frac{x + 5}{x - 1}$