Sendo A= {-2; -1,0; 1,2 } e B= {-1, 0, 1, 2, 3, 4, 5 }, determine a relação R dada por
R= {(x, y) ∈ A x B | y= x²-1 }
Escolha uma:
a) {(-2,3), (-1,0), (0,-1), (1,0), (3,3)}
b) {(-2,3), (-1,0), (0,-1), (1,0), (2,3)}
c) {(-2,3), (-1,0), (0,0), (1,0), (4,3)}
d) {(-3,3), (-1,0), (0,-1), (1,0), (4,3)}
e) {(-2,3), (-1,0), (-1,-1), (1,0), (4,3)}
Soluções para a tarefa
Sendo A= {-2; -1,0; 1,2 } e B= {-1, 0, 1, 2, 3, 4, 5 }, determine a relação R dada por
R= {(x, y) ∈ A x B | y= x²-1 }
A= {-2; -1,0; 1,2 } ============= B= {-1, 0, 1, 2, 3, 4, 5 },
y = x² - 1
y = (-2)² - 1
y = + 4 - 1
y = 3
y = x² - 1
y = (-1)² - 1
y = + 1 - 1
y = 0
y= x² - 1
y = (0)² - 1
y = 0 - 1
y = - 1
y = x² - 1
y = (1)² - 1
y = + 1 - 1
y = 0
y = x² - 1
y = (2)² - 1
y = + 4 - 1
y = 3
assim
A= {-2; -1,0; 1,2 } B= {-1, 0, 1, 2, 3, 4, 5 },
QUANDO
A = x = - 2 -------> B = y = 3
A = x = - 1 --------> B = y = 0
A = x = 0 ---------> B = y = - 1
A = x = 1-----------> B = y = 0
A = x = 2 ---------> B = y = 3
assim
(x; y)
(-2; 3)
(-1; 0)
(0; -1)
(1 ; 0)
(2 ; 3)
Escolha uma:
a) {(-2,3), (-1,0), (0,-1), (1,0), (3,3)}
b) {(-2,3), (-1,0), (0,-1), (1,0), (2,3)} ( resposta)
c) {(-2,3), (-1,0), (0,0), (1,0), (4,3)}
d) {(-3,3), (-1,0), (0,-1), (1,0), (4,3)}
e) {(-2,3), (-1,0), (-1,-1), (1,0), (4,3)}