The answer is \(\boxed{D}\).
The table provides several points \((x, y)\). The $x$-intercept occurs where \( y = 0 \), and the $y$-intercept occurs where \( x = 0 \).
From the table:
- The $x$-intercept is at \((-3, 0)\).
- The $y$-intercept is at \((0, 2)\).
The difference between the $x$-intercept and the $y$-intercept is calculated by finding the distance between the points \((-3, 0)\) and \((0, 2)\).
The distance \(d\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by:
\[
d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}
\]
Substitute the coordinates of the intercepts:
\[
d = \sqrt{(0 - (-3))^2 + (2 - 0)^2}
\]
\[
d = \sqrt{3^2 + 2^2}
\]
\[
d = \sqrt{9 + 4}
\]
\[
d = \sqrt{13}
\]
The difference between the $x$ and $y$ intercepts is \(\boxed{\sqrt{13}}\).