Answer
a) Domain: {1,3,5} Co-Domain: {s,t,u,v}
b) f(1)= v , f(3)=s, f(5)=v
c) Range: {s,v}
d) Yes, No
e)3, Doesn't exist, {1,5}
f) ({1,v}, {3,s}, {5,v})
Work Step by Step
a) The domain is all of the numbers that X can take, the co-domain is all of the numbers that Y can take.
b) By following the arrows on the diagram, we can see that the function f maps 1 to v, 3 to s, and 5 to v.
c) The range of f is all the numbers that f maps on to.
d) We see that 3 maps to s, therefore, in reverse s maps to 3, 1 maps on to v, therefore, u is not the reverse image of 1.
e) Following the arrows in reverse we see that s maps to 3 and v maps to both 1 and 5. There are no arrows that point to u therefore, it has no solution that exists on our domain.
f) Ordered pairs are just stating what each number on the domain maps on to.
