Assign numbers to functions in order?

Questions
1

I want to create code that assigns numbers to functions in order. I tried using Nestlist and it didn’t work.

f[x_]:=x+1

actually,

f[1]

f[2]

f[3]

f[4].....

You can do this code one by one, but it need a lot of code to look from 1 to 100 all results. Is there an easy way to write?

2

I can find

Table[f[a], {a, 1, 10}]

It was very easy.Thank you.

3

For this task there is a special function, try:

Array[f, 10]
4

Wow!
Thank you for me to very simple code.