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

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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step-by-step explanation:

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i cant fully remember all of the ranks, here are the ones i remember.

hand, ambitous, ace, genius.