The function f(x)=2+e^x has an asymptote at ________.
1 answer:
<h3>Answer: Horizontal asymptote at y = 2</h3>
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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