Function f(x) is shown in the table below

To find the value of \( h(3) \), we start with the given function \( h(x) = f(x) + 4 \).

From the table, we see that \( f(3) = -10 \).

Now, we calculate \( h(3) \):

\[
h(3) = f(3) + 4 = -10 + 4 = -6
\]

Thus, the value of \( h(3) \) is \(-6\).

The correct choice is:

\[
-6
\]