SOLUTION: Let X={1,2,3,4}. Determine whether or not each relation below is a Function from X to X (i) f={(2,3); (1,4); (2,1); (3,2);(4,4)}

Algebra ->  Functions -> SOLUTION: Let X={1,2,3,4}. Determine whether or not each relation below is a Function from X to X (i) f={(2,3); (1,4); (2,1); (3,2);(4,4)}       Log On


   

Question 934653: Let X={1,2,3,4}. Determine whether or not each relation below is a Function from X to X
(i) f={(2,3); (1,4); (2,1); (3,2);(4,4)}

(ii) g={(4,2); (3,1); (1,1)}

(iii) h={(2,1); (3,4); (1,4); (2,1); (4,4)}

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f is not a function as x = 2 maps to both y = 3 and y = 1

g is a function since any given x value maps to EXACTLY ONE y value

h is a function since any given x value maps to EXACTLY ONE y value (assuming the two copies of "(2,1)" are not a typo)