Looking at the following graph:

In gamma correction:

So

b$)$ Yes $=1$dots...

c$)$ Yes $>1$dots..

a$)$ input dark colors become lighter and light colors become a little lighter.

b$)$ dark input colors become darker and light colors also become darker.

c$)$ the colors remain the same $($the same image results$)$

a$)$ input dark colors become lighter and light colors become a little lighter.

b$)$ the colors remain the same $($the same image results$)$

c$)$ input dark colors become darker and light colors also become darker.

a$)$ the colors remain the same $($the same image results$)$

b$)$ input dark colors become lighter and light colors become a little lighter.

c$)$ input dark colors become darker and light colors also become darker.