2.14 Odd and even functions; inverse with domain restriction Quiz

1. Which function is even?

• A. $x^{3}+x$
• B. $x^{2}\cos x$
• C. $x\cos x$
• D. $x^{2}+x$

2. $f$ is odd and $f(2)=-7$. Find $f(-2)$.

• A. 7
• B. −7
• C. 0
• D. −2

3. Find the inverse of $f(x)=(x+1)^{2}-4$, $x\ge-1$.

• A. $-1-\sqrt{x+4}$
• B. $-1+\sqrt{x+4}$
• C. $1+\sqrt{x-4}$
• D. $\sqrt{x+4}+1$

4. Which function is self-inverse?

• A. $\frac{2x+1}{x-2}$
• B. $\frac{2x+1}{x+2}$
• C. $2x+1$
• D. $x^{2}$

5. The domain of $f$ is $x\ge0$ and its range is $y\ge5$. What is the domain of $f^{-1}$?

• A. $x\ge0$
• B. $x\ge5$
• C. $x\in\mathbb{R}$
• D. $x\le5$