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What Does f(x) Represent?
publish date: 2026/05/23 18:30:33.755787 UTC
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In the expression \(y = f(x) = x^2 - 2x + 3\), the symbol \(f(x)\) represents:
Correct Answer
The result of applying the rule f to the input x — the value of f at x
Explanation
\(f(x)\) is called the value of \(f\) at \(x\). It is the result of feeding \(x\) into the machine \(f\). When \(x = 0\): \(f(0) = 0 - 0 + 3 = 3\). When \(x = 1\): \(f(1) = 1 - 2 + 3 = 2\). When \(x = 5\): \(f(5) = 25 - 10 + 3 = 18\).
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012