Common Power Function: a = (1)/(2) (Square Root Function)
When the exponent a = (1)/(2), the power function is y = x^ (1)/(2) = √(x). Applicable Conditions: x ≥ 0. Explanation: This is the square root function, whose…
Syllabus path: Functions › Basic Elementary Functions › Power Functions
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CSCA Mathematics Formula Reference
Formula and explanation
When the exponent a = (1)/(2), the power function is y = x^ (1)/(2) = √(x). Applicable Conditions: x ≥ 0. Explanation: This is the square root function, whose graph is the part of the parabola y² = x in the first quadrant.
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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