Subjects functions

Mapping Diagram 4Ccf1D

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1. The problem describes a mapping from the set \{8,7,0\} to the set \{4,-1,-3\} with the pairs (8 \to 4), (7 \to -1), and (0 \to -3). 2. This is a function where each input from the domain (left oval) maps to exactly one output in the codomain (right oval). 3. We can write this function as \(f\) such that: \[ f(8) = 4, \quad f(7) = -1, \quad f(0) = -3 \] 4. Since the problem is about understanding the mapping, no algebraic formula is given or required. 5. The key takeaway is that each element in the domain has a unique image in the codomain, which satisfies the definition of a function. 6. The mapping diagram visually represents this function with arrows from each input to its output. Final answer: The function is \(f: \{8,7,0\} \to \{4,-1,-3\}\) defined by \(f(8)=4\), \(f(7)=-1\), and \(f(0)=-3\).