import matplotlib.pyplot as plt
import numpy as np
%matplotlib inline

# BEGIN QUESTION
name: q3
manual: true

Question 3. Graph the function $f(x) = \arctan \left ( e^x \right )$.

# BEGIN SOLUTION

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"$f(x) = \arctan \left ( e^x \right )$");

# END SOLUTION

# END QUESTION