23.7 A First Look at Power Functions: Toward More Functions
Point 4 of 5
23.7.4 Monotonicity and Domain
Core idea
Depending on whether the exponent is positive or negative, odd or even, the curve's rise and fall and the x-values it allows shift along with it.
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 · 23.7.4 Monotonicity and Domain