The table is \
| \
x \ | \
\
y \ | \
| \
1 \ | \
\
6 \ | \
| \
2 \ | \
\
9 \ | \
| \
3 \ | \
\
12 \ | \
| \
4 \ | \
\
15 \ | \
From the table x increases by 1, y increases by 3. So, this is a linear function.
It represents a linear function.