O Let f : A - B be an injection, and X, Y CA. Show that f(Xn Y) = f(X)nf(Y). |
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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prove item 3 only.
Transcribed Image Text:O Show that the function f: N² N defined by f(x, y) = 2X3Y is
injective but not surjective.
O Prove that f-1of = ldom f iff f-1 is a function from ran f to dom f.
O Let f: A B be an injection, and X, Y C A. Show that
f(XnY) = f(X)nf(Y).
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