Understand functions as mappings from inputs to exactly one output; connect f(x) to graph y=f(x).
Identify multiple inputs with the same output
Problem
In this relation, identify any different inputs that produce the same output: \(f(-2)=4,~f(2)=4,~f(0)=1\).
Big Picture
What this problem is really about
Translate each function statement into an input-to-output mapping, keeping the value inside parentheses separate from the value after the equals sign. We’ll compare the outputs first, locate any repeated value, and then trace it back to every input that produces it. This many-to-one pattern is permitted in a function.
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