Vargas Conner
01/20/2023 · Primary School
2. Sean \( A=\{-1,0,1,2\} B=\{0,1,2,3,4\} \) \( f=\left\{(x, y) \in A \times B / y=f(x)=1-x^{2}\right\} \) . Hailar \( f(-1), f(0), f(i), f(2), f(-2), f(-3), f(3) \) b. Expresar \( f \) como un conjunto de pares ordenados. c. Mostrar que \( f \) es una función de \( A \) en \( B \).
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a. \( f(-1) = 0 \), \( f(0) = 1 \), \( f(1) = 0 \), \( f(2) = -3 \). \( f(i) \), \( f(-2) \), \( f(-3) \), \( f(3) \) no están definidos.
b. \( f = \{(-1, 0), (0, 1), (1, 0), (2, -3)\} \)
c. \( f \) es una función de \( A \) en \( B \) porque cada elemento en \( A \) tiene un único valor en \( B \).
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