Functions handout

Functions handout - B to A ? Both? Neither? f = { (1 , 3) ,...

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Math 100 Functions Handout Martin H. Weissman 1. From sets to input-output Let A = { 1 , 2 , 3 } . Let B = { a,b } . Define a function by: f = { (1 ,a ) , (2 ,b ) , (3 ,a ) } . What is f (1)? What is f (2)? What is f (3)? Define a function from Z to { 0 , 1 } by: f = { ( x,y ) Z × { 0 , 1 } such that m Z such that x = 2 m + y } . What is f (3)? How can you tell that f is a function? Let A = { 1 , 2 , 3 } . Let B = { 1 , 3 } . Are the following functions from A to B ? Are they functions from
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Unformatted text preview: B to A ? Both? Neither? f = { (1 , 3) , (3 , 2) } . g = { (1 , 1) , (1 , 3) , (2 , 3) } . h = { (1 , 3) , (3 , 3) , (2 , 3) } . Now, go back through the functions on this handout. Which ones are injective? Which ones are surjective? Draw arrow diagrams of what they do. 1...
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This homework help was uploaded on 04/17/2008 for the course MATH 100 taught by Professor Weissman during the Fall '08 term at UCSC.

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