Funnyfunfuncat
Funnyfunfuncat Funnyfunfuncat
  • 09-01-2020
  • Mathematics
contestada

why is it impossible for the graph of the function y=1/x to intersect the horizontal asymptote at the x axis

Respuesta :

PollyP52 PollyP52
  • 09-01-2020

Answer:

Below.

Step-by-step explanation:

Because y = 1/x is never going to be equal to  zero no matter how high you make the value of x ( positive) or how low  ( negative).

At these high / low values the function approaches zero but never gets there.

As x --->∞, y ----> 0⁺.

As x ----> -∞, y ----> 0⁻.

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