For each function below, determine whether or not the function is injective and whether or not the function is surjective. be sure to justify your answers.
(b) f: p({1,2,3}) + n given by f(a) = |a| (note: p(s) denotes the power set of a set s.)

The function is neither injective nor surjective

Step-by-step explanation:

f: P({1,2,3}) -> N is given by f(A) = |A|

where P(S) denotes the power set of a set S and |A| the number of elements of A

The function is not injective, for  

but  

The function is not surjective either, because 5 is a natural number which is not the image of any element A under f, i.e., there is no element in A in P({1,2,3}) such that f(A)=5

1/4 and 8/3 because:

the reciprocal if 4 is 1/4 because 4 is used as 4/1 and the opposite of that is 1/4. the opposite of 3/8 is 8/3 so that is the answer.

mark branliest

step-by-step explanation:

.6 is 1/2 of 12

the answer is actually d. i just took the test