Domains, ranges and reciprocal hyperbolic functions Quiz

1. What is the range of $\cosh x$?

• A. $y\ge0$
• B. $y\ge1$
• C. $y>1$
• D. all real $y$

2. Which of these functions is not defined at $x=0$?

• A. $\operatorname{sech}x$
• B. $\cosh x$
• C. $\tanh x$
• D. $\coth x$

3. What is the range of $\cosh^{-1}x$?

• A. $y\ge0$
• B. $y\ge1$
• C. all real $y$
• D. $y>0$

4. What is the domain of $\tanh^{-1}x$?

• A. $-1\le x\le1$
• B. all real $x$
• C. $-1<x<1$
• D. $x\ge1$

5. Find the exact value of $\coth(\ln2)$.

• A. $\frac35$
• B. $\frac53$
• C. $\frac54$
• D. $\frac34$