a. Define
F:Z->Z
by the rule
F(n)=2-3n
, for all integers
n
. (i) Is
F
one-to-one? Prove or give a counterexample. (ii) Is
F
onto? Prove or give a counterexample. b. Define
G:R->R
by the rule
G(x)=2-3x
for all real numbers
x
. Is
G
onto? Prove or give a counterexample.