Stage 23 · Quadratic Functions

23.7.1 From Squaring to a General Power

23.7 A First Look at Power Functions: Toward More Functions

Point 1 of 5

23.7.1 From Squaring to a General Power

Core idea

y=x² is just one member; swap the exponent for any constant α and you have the whole power-function family, y=xᵅ.

Module goal. Abstract a family of power functions from y=x², recognize their shared pattern, and pave the way for exponentials, logarithms, and other new functions ahead.
eastmath.com · 23.7 A First Look at Power Functions: Toward More Functions · 23.7.1 From Squaring to a General Power