Question

Considere f:A ---; B definida por f = 2x²-3x+1.Se A={-1,0,1,2}, determine B

Answer 1

f(x) = 2x²-3x+1

  f(0)=2(0)²-3.0+1 = 1
  f(1/2)=2(1/2)²-3.(1/2)+1=2/4-3/2+1=(2-6+4)/4=0/4=0
  f(1)=2(1)²-3.1+1=2-3+1=0
  f(-1)=2(-1)²-3(-1)+1=2+3+1=6
  f(2)=2(2)²-3(2)+1=8-6+1=3

D(f)= {0,1,3,6 }
Im(f)= {0,1,3,6 }