Graphs of functions, asymptotes and proportional relationships Quiz

1. The curve $y=(x+1)(x-2)^2$ touches the $x$-axis at which point?

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

2. What are the asymptotes of $y=\frac{2}{x+3}-5$?

• A. $x=3,\ y=5$
• B. $x=3,\ y=-5$
• C. $x=-3,\ y=-5$
• D. $x=-3,\ y=5$

3. What is the end behaviour of $y=2x^3$?

• A. $y\to-\infty$ as $x\to-\infty$; $y\to\infty$ as $x\to\infty$
• B. $y\to\infty$ in both directions
• C. $y\to-\infty$ in both directions
• D. $y\to\infty$ as $x\to-\infty$; $y\to-\infty$ as $x\to\infty$

4. A taxi fare is $C=kd$. What does the graph of $C$ against $d$ look like?

• A. A reciprocal curve
• B. A parabola
• C. A straight line with a non-zero intercept
• D. A straight line through the origin

5. How many real solutions does $x^2=2x+3$ have?

• A. $0$
• B. $1$
• C. $2$
• D. $3$