1- Determine whether each of these functions from Z to Z is injective, surjective, bijective or none
of these. a) f(n)=n+1 b) f(n)=2n c) f(n)=3n21 d) f(n)=n3 e) f(n)= floor (n/2) 2- Show that x=x 3-
Suppose g:AB and f:B> where A={1,2,3},B={a,b,c},C={x,y,z}, and f and g are defined by g={(1,b),(
2,a),(3,a)} and f={(a,z),(b,y),(c,x)}. Find fg and f1 4- Find fg and gf, where f(x)=2x2 and g(x)=x+3,
are functions from R to R. 5. For the function fZZ where f(n)=n+l, does an inverse exist and, if so,
what is it? 6- Find a formula that generates the following sequence a1,a2,a3, a) 3,5,7,9,11 b) 2,5,
10,17,26.
1 Determine whether each of these functions from Z to Z is .pdf
1. 1- Determine whether each of these functions from Z to Z is injective, surjective, bijective or none
of these. a) f(n)=n+1 b) f(n)=2n c) f(n)=3n21 d) f(n)=n3 e) f(n)= floor (n/2) 2- Show that x=x 3-
Suppose g:AB and f:B> where A={1,2,3},B={a,b,c},C={x,y,z}, and f and g are defined by g={(1,b),(
2,a),(3,a)} and f={(a,z),(b,y),(c,x)}. Find fg and f1 4- Find fg and gf, where f(x)=2x2 and g(x)=x+3,
are functions from R to R. 5. For the function fZZ where f(n)=n+l, does an inverse exist and, if so,
what is it? 6- Find a formula that generates the following sequence a1,a2,a3, a) 3,5,7,9,11 b) 2,5,
10,17,26
