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Definition A function f from A to B is a relation from A to B such that (i) Dom(f) = A, and(ii) If (x,y) ∈ f and (x,z) ∈ f then y = z If A = B, we say that f is a function on A In terms of ordered pairs, (i) and (ii) say that every element of A appears as a first coordinate in one and only one ordered pair If f is a function and (x,y) ∈ f then we will write y = f(x)X7!x2 is de ned by the subset f(x;y) 2R R y= x2gˆ R R, sometimes known as the graph of the functionBut avoid Asking for help, clarification, or responding to other answers If Y F X Ax B Bx A Show That X F Y Youtube F(a+b+1-x)=f(x)
