The following GMAT Problem Solving question tests your understanding of properties of functions.

Question 12:

Which of the following functions $f$ satisfies the condition $f(x+y) = f(x) \cdot f(y)$ for all non-zero values of $x$ and $y$?

1. $\quad f(x)=\dfrac{1}{x}$
2. $\quad f(x)=3^{-2x}$
3. $\quad f(x)=-x$
4. $\quad f(x)=\sqrt{x}$
5. $\quad f(x)=x^2-x$

 
The following GMAT Problem Solving question tests your ability to manipulate exponents.

Question 11:

If $m=2^{16}$ and $n=2^{8}$, then which of the following is equivalent to $m^n$ ?

1. $2^{(2^{12})}$
2. $4^{(2^{11})}$
3. $4^{(2^{12})}$

1. $\quad \textrm{None}$
2. $\quad \textrm{I only}$
3. $\quad \textrm{II only}$
4. $\quad \textrm{I and II only}$
5. $\quad \textrm{I and III only}$

 
The following GMAT Problem Solving question tests your ability to find solutions to quadratic inequalities.

Question 10:

Which of the following specifies all the possible values of $x$ for which $x^2-3x-10<0$ ?

1. $\quad -5 \lt x \lt 2$
2. $\quad -5 \lt x \lt 5$
3. $\quad -2 \lt x \lt 5$
4. $\quad x \lt -2 \quad \textrm{or} \quad x \gt 5$
5. $\quad x \lt -5 \quad \textrm{or} \quad x \gt 2$