Determine whether the given function is exponential or not. If it is exponential, identify the value of the base a.
-$\begin{array}{cc}
\hline \mathrm{x} & \mathrm{H}(\mathrm{x}) \
\hline-1 & \frac{5}{8} \
0 & 1 \
1 & \frac{8}{5} \
2 & \frac{64}{25} \
3 & \frac{512}{125} \
\hline
\end{array}$

A) Exponential; $a = \frac { 5 } { 8 }$
B) Exponential; $a = 8$
C) Exponential; $a = \frac { 8 } { 5 }$
D) Not exponential

Question

Determine whether the given function is exponential or not. If it is exponential, identify the value of the base a.
-$\begin{array}{cc}
\hline \mathrm{x} & \mathrm{H}(\mathrm{x}) \
\hline-1 & \frac{5}{8} \
0 & 1 \
1 & \frac{8}{5} \
2 & \frac{64}{25} \
3 & \frac{512}{125} \
\hline
\end{array}$

A) Exponential; $a = \frac { 5 } { 8 }$
B) Exponential; $a = 8$
C) Exponential; $a = \frac { 8 } { 5 }$
D) Not exponential

Quizplus · Accepted Answer

The function is exponential because the ratio between consecutive terms is constant. The base $a$ is $\frac{8}{5}$ as each term is obtained by multiplying the previous term by $\frac{8}{5}$.

Determine Whether the Given Function Is Exponential or Not A) Exponential;