Problem 2. Function Propertes (12 points) For each of the following functions, tell whether they are Injective, Surjective or Bijective. Justify your response for each of the three properties with a one sentence explanation (so each function should have correspond to three sentences), with a specific example where applicable (when a function is not injective/surjective). (a) [3 pts.] f(x)=x2 where f:ZZ (b) [3 pts.] g(n)=n7 where g:RR (c) [3 pts.] h(n)=3n where h:NN (where we define N to include 0 ) (d) [3 pts.] Let A={ apple, bayou, eagle, dog, cookie, bagel } and B={a,b,c,d,c,f}. Define the function j:AB which returns the first letter in the input. For example, j(apple)=a. Solution