https://youtu.be/b8-zkcWnlSI

In this video I go over the steps involved in graphing the function y = e<sup>1/x</sup>. This is a great example for curve sketching because it involves both horizontal and vertical asymptotes as well as having inflection points with the derivative never being zero!

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- YouTube: [https://youtu.be/b8-zkcWnlSI](https://youtu.be/b8-zkcWnlSI)

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# Curve Sketching Example: f(x) = e<sup>1/x</sup>

![Curve Sketching Example 2.jpeg](https://files.peakd.com/file/peakd-hive/mes/h1RA5Vm7-Curve20Sketching20Example202.jpeg)

## Example

Sketch the graph of the function f(x) = e<sup>1/x</sup>

**Solution:**

![image.png](https://files.peakd.com/file/peakd-hive/mes/vT86uFm2-image.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/OmLF9XSe-image.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/AvJX4Gq1-image.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/AIX1yol3-image.png)

![image.png](https://files.peakd.com/file/peakd-hive/mes/m39vTjK9-image.png)