mariorgonzalezo4918 mariorgonzalezo4918
  • 01-10-2018
  • Mathematics
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Which best describes the range of the function f(x)=2/3(6)^x after it's been reflected over the x-axis

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Аноним Аноним
  • 01-10-2018

The function [tex] 6^x [/tex] is an exponential with base greater than 1. So, its range is [tex] (0,\infty) [/tex], with 0 being the horizontal asymptote as [tex] x \to -\infty [/tex].

If you multiply the function by [tex] \frac{2}{3} [/tex], the range remains the same.

If you reflect it over the x-axis, you're changing the sign of the function. So, the new range is

[tex] (-\infty,0) [/tex]

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