#!/usr/bin/env python
# coding: utf-8

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import matplotlib.pyplot as plt
import numpy as np
get_ipython().run_line_magic('matplotlib', 'inline')

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# BEGIN QUESTION
name: q3
manual: true
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# **Question 3.** Graph the function $f(x) = \arctan \left ( e^x \right )$.
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# BEGIN SOLUTION
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f = lambda x: np.arctan(np.exp(x))
xs = np.linspace(-10, 10, 100)
ys = f(xs)

plt.plot(xs, ys)
plt.xlabel("$x$")
plt.ylabel("$f(x)$")
plt.title(r"$f(x) = \arctan \left ( e^x \right )$");

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# END SOLUTION
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# END QUESTION
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