Plane 2X2
1. **State the problem:**
We have a function of two variables: $$u(x_1, x_2) = 2 x_2$$.
2. **Analyze the function:**
The function depends only on $$x_2$$ and is linear in $$x_2$$ with slope 2.
There is no dependence on $$x_1$$, so the surface will be constant along the $$x_1$$ axis.
3. **Graph interpretation:**
Because $$u$$ varies linearly with $$x_2$$ and is constant with $$x_1$$, the graph is a plane parallel to the $$x_1$$ axis.
4. **Summary:**
The shape is a plane rising linearly in the $$x_2$$ direction at twice the rate: $$u = 2 x_2$$.
This matches the description of a flat plane anchored at the origin extending upward with no $$x_1$$ dependence.