Question

Stabiliți domeniul de valori (codomeniul ) cu numărul minim de elemente , pentru: a) f:{-2;-1;0;1;2;3}->B,f(x)=x+3 b) {-3;-2;-1;1;2;3;4}->B ,f(x) =x la a doua c) f: {-2;-1;0;1;2;3;4}->B,f(x) =2x+1​

Answer 1

a) f(x)=x+3

f(-2)= -2+3=1

f(-1)= -1+3=2

f(0)=0+3=3

f(1)=1+3=4

f(2)=2+3=5

f(3)=3+3=6

B={1,2,3,4,5,6} -->6 elemente

b)f(x)=x

f(-3)= -3

f(-2)= -2

f(-1) = -1

f(1)=1

f(2)=2

f(3)=3

f(4)=4

B={-3,-2,-1,1,2,3,4,} -->7 elemente

c)f(x)=2x+1

f(-2)=2×(-2)+1= -5

f(-1)=2×(-1)+1= -1

f(0)=2×0+1=1

f(1)=2×1+1=3

f(2)=2×2+1=5

f(3)=2×3+1=7

f(4)=2×4+1=9

B={-5,-1,1,3,5,7,9} -->7 elemente