$($a$).$ Define function with $2$ examples & state the properties of a function

$($b$).$ Observe the below given scenario:

Identify if the above function is Injective, Surjective & Bijective with brief explanation.

$($c$).$ Identify which of the below given function have One$-$to$-$One$/$Injective properties $($Demonstrate

$4$

with $3$ example for each function$)$:

$($i$)F(x)=x^2$

$($ii$)F(x)=2x+1$