Answer true of false to the following questions:

1. It is possible to uniquely define a quadratic function given 4 distinct points.

2. It is possible to uniquely define a constant function given 4 distinct points.

3. It is possible to uniquely define a quartic function given 4 distinct points.

4. It is possible to uniquely define a cubic function given 4 distinct points.

5. It is possible to uniquely define a quintic function given 4 distinct points.