File:End Behavior of Monomials.svg

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Original file(SVG file, nominally 420 × 420 pixels, file size: 10 KB)

Captions

Captions

Depiction of the end behavior of monomials

Summary

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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

Licensing

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I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
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File history

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Date/TimeThumbnailDimensionsUserComment
current13:42, 12 December 2022Thumbnail for version as of 13:42, 12 December 2022420 × 420 (10 KB)BloomyFractal (talk | contribs)Uploaded own work with UploadWizard

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