Repede! Multe puncte+ coroana
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Răspuns:
Explicație pas cu pas:
f(3) = -1, f(-1) = -1+1 = 0, f(2) = -1, f(4) = 4^2 +2*4 +2 = 26
3f(3) +2f(-1) +3f(2) -4f(4) = 3*(-1) +0 + 3*(-1) +4*26 =
-3 -3 + 104 = 88
[tex]\it 3\in (1,\ 3]\ \Rightarrow\ f(3)=-1\ \Rightarrow\ 3f(3)=3\cdot(-1)=-3\\ \\ -1<1\ \Rightarrow\ f(-1)=-1+1=0\ \Rightarrow\ 2f(-1)=2\cdot0=0\\ \\ 2\in (1,\ 3]\ \Rightarrow\ f(2)=-1\ \Rightarrow\ 3f(3)=3\cdot(-1)=-3\\ \\ 4>3\ \Rightarrow\ f(4)=4^2+2\cdot4+2=26\ \Rightarrow\ 4f(4)=4\cdot26=104[/tex]
Suma algebrică din enunț se scrie:
[tex]\it -3+0+(-3)-104=-3-3-104=-110[/tex]