Answer
$\text{exponential growth;}$
$y$-intercept = $\dfrac{25}{7}$
Work Step by Step
Recall:
The exponential function $y=c \cdot b^x$ involves:
(1) an exponential growth if $b\gt1$.
(2) an exponential decay if $0\lt b \lt1$.
The given exponential function has $b=\frac{7}{5}$, which is greater than $1$.
Thus, the function is an example of exponential growth.
The $y$-intercept of an exponential function can be found by setting $x=0$ then solving for $y$.
Hence, the $y$-intercept of the given function is:
\begin{align*}
y&=\frac{25}{7}\left(\frac{7}{5}\right)^0\\
y&=\frac{25}{7} \cdot 1\\
y&=\frac{25}{7}
\end{align*}