Answer
a) Domain: {1,3,5}, Co-domain: {a,b,c,d}.
b)g(1)=b, g(3)=b, g(5)=b.
c) Range: {b}
d) No, Yes
e) {1,3,5}, doesn't exist.
f) [{1,b},{3,b},{5,b}]
Work Step by Step
a) The domain is all the values that X is defined for, the co-domain is all the values that Y is defined for.
b)Following the arrows shows that the function g maps 1 to b, 3 to b, and 5 to b.
c)The range of g is all the values that g can take on the co-domain in this case it is just b.
d) 3 maps onto b, therefore a is not the reverse image of 3. 1 maps on to b therefore, b is the reverse image of 1.
e) 1,3,5 all map on to b, therefore the reverse image of b is {1,3,5}. No values in the domain map on to c therefore, it is not defined on the domain.
f) Pair the values on the domain to their corresponding values on the co-domain
