Answer
$\text{exponential growth}$;
$y$-intercept $= 5$
Work Step by Step
RECALL:
The exponential function $y=c \cdot b^x$ represents:
(1) an exponential growth when $b\gt 1$.
(2) an exponential decay when $0\lt b \lt 1$.
The given exponential function has $b=\frac{8}{3}$, which is greater than $1$.
Thus, the exponential function represents an exponential growth.
The $y$-intercept can be found by setting $x=0$ then solving for $y$:
\begin{align*}
y&=5\left(\frac{8}{3}\right)^x\\
y&=5\left(\frac{8}{3}\right)^0\\
y&=5(1)\\
y&=5
\end{align*}
Therefore, the $y$-intercept is $5$.
