A transformed natural exponential function is given by . What is the new horizontal asymptote of this function?
Answer & Analysis
Analysis
Question Analysis
This problem assesses the understanding of how transformations affect the horizontal asymptote of the natural exponential function.
Key Concept Explanation
The standard natural exponential function has a horizontal asymptote at . A vertical translation by 2 units upward shifts the horizontal asymptote to .
Step-by-step Solution
1. Identify the standard form of the natural exponential function: with a horizontal asymptote at .
2. Recognize the transformation in the given function:
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