A family consisting of a father and his two children is best described as what type of family?

The family described in the question, consisting of a father and his two children, can best be defined as a single-parent family. A single-parent family is characterized by one parent raising one or more children without the presence of the other parent. In this case, the father is responsible for the upbringing of the two children, indicating that he is the sole guardian or caregiver, which aligns perfectly with the definition of a single-parent family.

To elaborate on why the other descriptions do not fit: a nuclear family typically includes two parents and their children living together, which is not the case here since the father is the only parent mentioned. A blended family involves two separate families coming together, often through remarriage, which does not apply to this scenario as there is only one father and his biological children. Lastly, an extended family includes relatives beyond the immediate family unit, such as grandparents or aunts and uncles, which again does not reflect the structure described in the question.