Exponential functions Quiz

1. What is the gradient of $y=e^{3x}$ at $x=0$?

• A. $1$
• B. $3$
• C. $e^3$
• D. $3e^3$

2. Through which point does $y=3^x$ pass?

• A. $(0,3)$
• B. $(1,0)$
• C. $(0,1)$
• D. $(3,0)$

3. Differentiate $5e^{-2x}$.

• A. $-10e^{-2x}$
• B. $10e^{-2x}$
• C. $-2e^{-2x}$
• D. $-10xe^{-2x-1}$

4. As $x\to-\infty$, what does $y=e^x$ tend to?

• A. $-\infty$
• B. $1$
• C. $\infty$
• D. $0$

5. A curve $y=e^{kx}$ has gradient $12$ at the point where $y=4$. Find $k$.

• A. $2$
• B. $3$
• C. $4$
• D. $8$