Exponential functions and their graphs Quiz

1. Which value of $a$ is not allowed in $y=a^x$?

• A. $2$
• B. $\frac12$
• C. $1$
• D. $10$

2. The curve $y=a^x$ passes through $(3,8)$. Find $a$.

• A. $2$
• B. $\frac83$
• C. $4$
• D. $512$

3. Which equation is the reflection of $y=3^x$ in the $y$-axis?

• A. $y=-3^x$
• B. $y=3^x+1$
• C. $y=-3^{-x}$
• D. $y=\left(\frac13\right)^x$

4. What happens to $y=(0.5)^x$ as $x$ increases?

• A. It increases without bound
• B. It decreases towards 0
• C. It becomes negative
• D. It stays equal to 1

5. Find the value of $y$ on $y=2^x$ when $x=-3$.

• A. $-8$
• B. $-6$
• C. $\frac18$
• D. $\frac16$