2010.09.15 1.2 Sets

4062 days ago by calcpage123

#1) {a}, {b}, {}, {a,b} 
       
#2) {1,2,3}, {1,2}, {2,3}, {1}, {2}, {3}, {}, {1,3} #2) 2**n 
       
#3) 1->0, 2->-1, 3->9, 4->6, 5->-97 
       
#4) f:{1,2,3}->{a,b} f(1)=a, f(2)=b, f(3)=a 
       
#5) g:{1,2,3}->{a,b,c,d} not a function 
       
#6) h(x)=x%3 
       
#7) smallest size of the range = 1 #7) largest size of the range = 17 #7) the cardinality of the range is between 1 and 17. 
       
#8) f:{1,2,3}->{a,b,c} #8) 1->a,a,a,a... #8) 2->a,a,a,b... #8) 3->a,b,c,a... 3*3*3 
       
\newcommand{\Bold}[1]{\mathbf{#1}}27
\newcommand{\Bold}[1]{\mathbf{#1}}27
#9) f(n)=2n+1 #9) f(1)=3 #9) f(2)=5 #9) f:Z->O 
       
#10) f(word) = first letter in word 
       
#11) f(x,y) = sqrt(x**2+y**2) #11) 0<=f(x,y)<=1 #11) f(x,y) the distance (x,y) is from the #11) center of the unit circle 
       
#12) f(x)=x+1, 0<x<=1 #12) f(x)=1/x, 0<x<=1