Answer
$y=2(7)^{x}$
Work Step by Step
Exponential function is of the form
$y=ab^{x}$ where $a\ne0$, $b\ne1$ and $b\gt0$.
From the table of values,
$\text{y-intercept}=2=a$
The $y$-values increase by a factor of $7$ as $x$ increases by $1$. So, $b=7$.
An exponential function represented by the table is $y=2(7)^{x}$.
