2.16 Modulus and further transformed graphs Quiz

1. The graph of $y=f(x)$ has a minimum at $(3,-5)$. Which point is on $y=|f(x)|$?

• A. $(3,5)$
• B. $(-3,5)$
• C. $(3,-5)$
• D. $(-3,-5)$

2. $f$ has zeros at $x=-2$ and $x=5$ only. How many vertical asymptotes does $y=\frac{1}{f(x)}$ have?

• A. 2
• B. 0
• C. 1
• D. 4

3. Solve $|x-1|>4$.

• A. $x<-3$ or $x>5$
• B. $-3<x<5$
• C. $x>5$
• D. $x<-5$ or $x>3$

4. A maximum of $f$ is at $(4,7)$. Where is the corresponding maximum of $y=f(2x+2)$?

• A. $(1,7)$
• B. $(10,7)$
• C. $(3,7)$
• D. $(1,14)$

5. Which statement about $y=f(|x|)$ is always true?

• A. It is an even function
• B. It is never negative
• C. It has the same zeros as $f$
• D. It is an odd function