Rational function graphs Quiz

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

• A. $x=2$
• B. $x=-2$
• C. $x=\frac23$
• D. $x=\frac32$

2. Find the horizontal asymptote of $y=\frac{3x-2}{2x+4}$.

• A. $y=-\frac12$
• B. $y=3$
• C. $y=\frac23$
• D. $y=\frac32$

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

• A. $3$
• B. $2$
• C. $1$
• D. $4$

4. What is the greatest value of $y=\frac{x}{x^2+1}$?

• A. $1$
• B. $2$
• C. $\frac12$
• D. $\frac14$

5. Solve $\frac{x+1}{x-2}>0$.

• A. $-1<x<2$
• B. $x>2$
• C. $x<-1$
• D. $x<-1$ or $x>2$