File:End Behavior of Monomials.svg

Summary

Description
English: This file represents the end behavior of monomials, using the function f(x) = a * x^n, in four different cases:

- When n is even and a is positive: f(x) approches positive infinity in both directions,

- When n is even and a is negative: f(x) approches negative infinity in both directions,

- When n is odd and a is positive: as x approches negative infinity, f(x) approches negative infinity, and, as x approches positive infinity, f(x) approches positive infinity,

- When n is odd and a is negative: as x approches negative infinity, f(x) approches positive infinity, and, as x approches positive infinity, f(x) approches negative infinity.
Français : Ce fichier illustre le comportement à l'infini (positive et négative) d'un monôme, en utilisant la fonction f(x) = a * x^n, dans quatre situations différents:

- Quand n est pair et a est positif: f(x) tend vers plus l'infini dans les deux directions,

- Quand n est pair et a est négatif: f(x) tend vers moins l'infini dans les deux directions,

- Quand n est impair et a est positif: si x tend vers moins l'infini, f(x) tend vers moins l'infini, et, si x tend vers plus l'infini, f(x) tend vers plus l'infini,

- Quand n est impair et a est négatif: si x tend vers moins l'infini, f(x) tend vers plus l'infini, et, si x tend vers plus l'infini, f(x) tend vers moins l'infini.
Date
Source Own work
Author BloomyFractal

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Category:CC-BY-SA-4.0#End%20Behavior%20of%20Monomials.svg
Category:Self-published work Category:Polynomial functions Category:Asymptotics
Category:Asymptotics Category:CC-BY-SA-4.0 Category:Polynomial functions Category:Self-published work