hannahpetty1111 hannahpetty1111
  • 07-10-2020
  • Mathematics
contestada

The function f(x)=2+e^x has an asymptote at ________.

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jimthompson5910 jimthompson5910
  • 07-10-2020

Answer: Horizontal asymptote at y = 2

As x approaches negative infinity, the e^x term slowly approaches 0

This means 2+e^x approaches 2+0 = 2

So that's why we have a horizontal asymptote at y = 2

The graph approaches the line y = 2 but doesn't touch or cross it. Think of it like an electric fence.

The graph is below.

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