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Which of the following correspondences c...

Which of the following correspondences can be called a function?
(A) `f(x)=x^(3),{-1,0,1}to{-1 ,0,1,2,3}`
(B)`f(x)=+-sqrt(x),{0,1,4}to{-2,-1,0,1,2}`
(C)`f(x)=sqrt(x),{0,1,4}to{-2,-1,0,1,2}`
(D) `f(x)=-sqrt(x),{0,1,4}to{-2,-1,0,1,2}` .

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To determine which of the given correspondences can be classified as a function, we need to analyze each option based on the definition of a function. A correspondence is a function if every element in the domain is associated with exactly one element in the range. ### Step-by-Step Solution: 1. **Option (A):** - Function: \( f(x) = x^3 \) - Domain: \{ -1, 0, 1 \} - Calculation: ...
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