Sketching polynomial and reciprocal graphs Quiz

1. How does $y=x^2(x-4)$ behave at the origin?

• A. It touches the $x$-axis and turns
• B. It crosses the $x$-axis
• C. It has a vertical asymptote
• D. It has no point there

2. What happens to $y=-2x^3+x$ as $x\to\infty$?

• A. $y\to-\infty$
• B. $y\to\infty$
• C. $y\to0$
• D. $y\to-2$

3. In which quadrants does $y=-\frac{3}{x^2}$ lie?

• A. First and second
• B. First and third
• C. Second and fourth
• D. Third and fourth

4. What are the asymptotes of $y=\frac{5}{x}$?

• A. $x=5$ and $y=5$
• B. $x=0$ only
• C. $x=0$ and $y=0$
• D. $y=0$ only

5. $y$ is inversely proportional to $x$, and $y=3$ when $x=4$. Find $y$ when $x=6$.

• A. $8$
• B. $2$
• C. $18$
• D. $0.5$