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Arrow Notation for a Function
publish date: 2026/05/23 18:30:34.321325 UTC
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To make it unambiguous that \(f\) is the rule (not just a value), mathematicians prefer the arrow notation. Complete the notation: \(f:\)
Correct Answer
\(x \to x^2 - 2x + 3\)
Explanation
The arrow notation \(f: x \to x^2 - 2x + 3\) reads "f sends x to x² − 2x + 3" and makes it clear that \(f\) is the rule, while \(x^2-2x+3\) is what x gets mapped to. Writing \(f(x)=x^2-2x+3\) can misleadingly suggest the value and the rule are the same thing.
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012