{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Functions handout

# Functions handout - B to A Both Neither • f =(1 3(3 2 •...

This preview shows page 1. Sign up to view the full content.

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
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

{[ snackBarMessage ]}

Ask a homework question - tutors are online