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Why are the y-values of an exponential growth function either always greater than or less than the asymptote of the function?

Aurelia11 ∙

Lvl 1

∙ 12y ago

Updated: 4/28/2022

The exponential function is always increasing or decreasing, so its derivative has a constant sign. However the function is solution of an equation of the kind y' = ay for some constant a. Therefore the function itself never changes sign and is MORE?

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∙ 12y ago

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Why are the y-values of an exponential growth function either always greater than or less than the asymptote of the function?

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