Common Power Function: α = n (Positive Integer)
Formula: y = xⁿ, where n is a positive integer (e.g., 1, 2, 3...). Explanation: This is the simplest type of power function. The shape of its graph depends on…
Syllabus path: Functions › Basic Elementary Functions › Power Functions
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CSCA Mathematics Formula Reference
Formula and explanation
Formula: y = xⁿ, where n is a positive integer (e.g., 1, 2, 3...). Explanation: This is the simplest type of power function. The shape of its graph depends on whether n is odd or even. When n = 1, it's a straight line; when n = 2, it's a parabola. Its domain is all real numbers R.
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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