16. Which of the following definitions describe functions from the domain to the codomain given? Which...

 

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16. Which of the following definitions describe functions from the domain to the codomain given? Which functions are one-to-one? Which functions are onto? Describe the inverse function for any bijective function. a) f: Z? → N where fis defined byf(x, y) = x2 + 2y? * if x is even b) f: N → N where f is defined byf(x)= 2 x +1 if x is odd c) g: R → R where g is defined by g(x) = 1//(x + 1) d) f: N → N where fis defined by f (x) = {x +1 if x is even x - 1 if x is odd e) h; N3 → N where h is given by h(x, y, z) = x +y-z £1g: N² → N³ where g is defined by g(x, y) = (y, x, 0) 16. Which of the following definitions describe functions from the domain to the codomain given? Which functions are one-to-one? Which functions are onto? Describe the inverse function for any bijective function. a) f: Z? → N where fis defined byf(x, y) = x2 + 2y? * if x is even b) f: N → N where f is defined byf(x)= 2 x +1 if x is odd c) g: R → R where g is defined by g(x) = 1//(x + 1) d) f: N → N where fis defined by f (x) = {x +1 if x is even x - 1 if x is odd e) h; N3 → N where h is given by h(x, y, z) = x +y-z £1g: N² → N³ where g is defined by g(x, y) = (y, x, 0)

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