1. Let \( A=\{1,2,3,4\} \) and \( B=\{a, b, c\} \) and suppose \( f \) is a function from \( A \) to \( B \) such that
\[
f(1)=b, \quad f(2)=c, \quad f(3)=a, \quad f(4)=c .
\]
(a) Is \( f \) one-to-one?
(b) Is \( f \) onto?
(c) Is \( f \) bijective?
(d) Has \( f \) an inverse function?
2. Let \( A=\{1,2,3,4\} \) and \( B=\{0,3,8,15\} \) and suppose \( f \) is a function such that
