Common Power Function: α = - 1
Formula: y = x⁻¹, i.e., y = (1)/(x). Explanation: This is the reciprocal function (inverse proportion). Its domain is ( - ∞, 0) ∪ (0, + ∞). Its graph is a hype…
Syllabus path: Functions › Basic Elementary Functions › Power Functions
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CSCA Mathematics Formula Reference
Formula and explanation
Formula: y = x⁻¹, i.e., y = (1)/(x). Explanation: This is the reciprocal function (inverse proportion). Its domain is ( - ∞, 0) ∪ (0, + ∞). Its graph is a hyperbola located in the first and third quadrants.
Related tutorial and examples
Power Functions
Power Functions 1. Core Concepts Power Functions are functions of the form y = x^(α), where x is the variable and α is a constant. Key Distinction: Power Function: Base is variable x, Exponent is constant (e.g., y = x³ ). Exponential Function: Base is constant a, Exponent is vari…
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