or give a counterexample to the following stateme ons, then ƒ Ug is a function from DU B to C UA et of D x C and a as a subset, of B X A.)

Q: a. f. Z → Z b. f. R → R c. f. Z+ → R f(x) = -4 [2x+4 x<3 x+7 x ≥3 f(x) = { f(x)= x + 1.5

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Q: Suppose f : A →→ B is an injective function. Show that there is a function g : B→ A such that gof=…

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A: 5. Given: g1:ℤ→ℤ defined by g1=x,y|y=x 6. Given: g2:ℤ→ℤ+ defined by g2=x,y|y=3x+1 one to one:  f:A→B…

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Q: c. If f and g are both surjective, show that so is gof. d. Suppose that gof is surjective. Are f and…

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Q: Consider the function f(n) = floor(n/2) from Z to Z. a. Is this function one-to-one? Is this…

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