Va rog ajutați-mă că nu stiu.

Răspunsuri la întrebare
Răspuns:
Explicație pas cu pas:
a) f(x)=x+3. variabila x, argumentul functiei, ia valori din domeniul de definitie, deci x∈{-2,0,1,2}. Inlocuind aceste valori in formula functiei, f(x)=x+3, vom obtine o multime de valori, ce reprezinta Im f.
f(-2)=-2+3=1; f(0)=0+3=3; f(1)=1+3=4; f(2)=2+3=5. Deci Im f ={1,3,4,5}.
b) x∈{-3,-2,1,3,4}. Inlocuind aceste valori in formula functiei, f(x)=x², vom obtine o multime de valori, ce reprezinta Im f.
f(-3)=(-3)²=9; f(-2)=(-2)²=4; f(1)=1²=1; f(3)=3²=9; f(4)=4²=16, ⇒Im f ={1,4,9,16}.
c) x∈{-2,-1,0,1,2}. Inlocuind aceste valori in formula functiei, f(x)=2x+1, vom obtine o multime de valori, ce reprezinta Im f.
f(-2)=2·(-2)+1=-4+1=-3; f(-1)=2·(-1)+1=-2+1=-1; f(0)=2·0+1=1; f(1)=2·1+1=3; f(2)=2·2+1=5. Deci Im f = {-3,-1,1,3,5};


