Common Power Function: a = 1 (Direct Proportionality)

When the exponent a = 1, the power function is y = x. Applicable Conditions: x ∈ R. Explanation: This is the simplest linear function, whose graph is a straigh…

Syllabus path: Functions › Basic Elementary Functions › Power Functions

CSCA Exam Prep

This formula is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.

Practice related questions (11) · Start mock exam · Sign up — AI explanations · Membership plans

CSCA Mathematics Formula Reference

Formula and explanation

When the exponent a = 1, the power function is y = x. Applicable Conditions: x ∈ R. Explanation: This is the simplest linear function, whose graph is a straight line passing through the origin with a slope of 1.

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…

Read the full tutorial and worked examples

Plan your next CSCA study step

Use this topic in a focused practice set, then connect it to the exam requirements and timed papers.