# explain the steps. : Function Properties For each of the following functions, tell whether they are Injective, Surjective or Bijective. Justify your response for each

explain the steps. : Function Properties
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
correspond to three sentences), with a specific example where applicable (when a function is not
injective/surjective).
1. f (n) = n? where f:N >N (where we define N to include 0)
2. g(n) = n+4 where g:R>R
3. h(x) = min(x,-x) where h:Z>Z. The min function returns the minimum of its two input
arguments so that h(-10) = -10 and h(3) = -3.
4. Let A = {apple, banana, babble, cookie, moon, nation} and B = {a,b, cno, p). Define the function
LA> B which returns the most common letter in the input. For example, j(apple) = p

(550 words)

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