Question

Se considera functia f definita de diagrama urmatoare (X=1,2,3,4,5,6/Y=-1,-2,-3,-4,-5,0 si 1,2=>-2, 3=>-4, 4=>-5, 5=>-4, 6=>0) si multimile A={2,3,5], B={1,4,5,6}, C={4}, D={-2,-4,-5}, e={-2,-3,-4}, F={0}, G={-1,-5}.
a) Sa se determine imaginea multimilor X, A, B, C prin functia f.
b)Sa e determine preimaginea multimilor D, E, F, G, Y prin functia f.

Answer 1

Răspuns:

f(1)=-1

f(2)=-2

f(3=-3

f(4)=-4

f(5)=-5

f(6)=0

a) f(x)=y

A={2,3,5} imgA={-2,-3,-5}

B={1,4,5,6} imgA={-1,-4,-5,0}

C={4} imgC={-4}

b) y=f(x)

imgD={-2,-4,-5} D={2,4,5}

imgE={-2,-3,-4} E={2,3,4}

imgF={0} F={6}

imgG={-1,-5} G={1,5}