Common Power Function: α = (1)/(n) ( n is a Positive Integer)
Formula: y = x^ (1)/(n), i.e., y = [n] x. Explanation: This is the radical function. When n is even, the domain is [0, + ∞); when n is odd, the domain is R. Fo…
Syllabus path: Functions › Basic Elementary Functions › Power Functions
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CSCA Mathematics Formula Reference
Formula and explanation
Formula: y = x^ (1)/(n), i.e., y = [n] x. Explanation: This is the radical function. When n is even, the domain is [0, + ∞); when n is odd, the domain is R. For example, y = √(x) is the square root function.
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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