French Verb: Faire ou Faire faire?

Faire appears in the Top 10 French Verb list.
When followed by a verb in the infinitive, it works more or less as an auxiliary verb, and means to make do. It may require an agent that makes the action described by the infinitive:
Ma mère me fait acheter des tomates;
but it is not mandatory:
La pluie fait pousser l'herbe.

When the subject that makes the action in undefined (who rains?), we use the masculine singular third person: "il".
Il fait beau, il fait jour, il pleut...
WARNING: "on" is for people. (you cannot say: someone rains!)

Faire is used in fixed phrases. The commonest are:
faire semblant (pretend to)
faire peur (frighten)
faire vite (do in a hurry)
faire attention (take care)

The negation asks for 2 elements, but in spoken French, the first one tends to disappear, or at least to be half-swallowed.

ne ... pas - je ne vais pas à  l'école.

I do not go to school.

ne ... plus - je n'ai plus de tomates.

I had some, but I ate them.

ne ... jamais - il ne pleut jamais à  Antofagasta.

It never rains in Antofagasta.

ne ... que - elle ne vient que le dimanche.

She comes only on Sundays

ne ... rien - ils ne font rien.

They do nothing.