CSE 2353 – October 1 st 2003 Functions

For Real Numbers F: R->R –f(x) = 7x + 5 –f(x) = sin(x)

Function Definition Function from A to B –written f: A  B –a subset of A x B –A is Domain –B is Codomain Mapping or Transformation

Equality A = A’ B = B’ F(a) = G(a) for all a  A

Image or Range –f: A  B –Image is b  B : f(a,b)  f for some a  A

Composite f(g(x)) f = 2x+3 g = 3x+5 f o g =

Terms Injective (No duplicated b’s) Surjective (All b’s used) Graphs

Bijective Both Injective and Surjective one to one correspondence one to one onto Bijective Composite