victorsingh1976 victorsingh1976
  • 11-07-2020
  • Mathematics
contestada

PLEASE HELP!! what is the horizontal asymptote of f(x)=2/3^x? Is it on the x-axis or the y-axis?

Respuesta :

leena
leena leena
  • 11-07-2020

Hey there! :)

Answer:

y = 0, also known as the x-axis.

Step-by-step explanation:

The equation [tex]f(x) = \frac{2}{3} ^{x}[/tex] is an exponential function.

There is an asymptote at y = 0, or the x-axis because:

[tex]\frac{2}{3} ^{x}\neq 0[/tex]

An exponential function, unless containing a vertical shift, can never cross the x-axis resulting in an asymptote at y = 0.

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