Question

Write a program that plots two functions: f(x) = x2 and g(x) = ax. Write it in such a way that the intersection points are marked with an X, for arbitrary a. • You may use your favorite ready-made function to find the intersection points, if not: • One possible way to tackle this problem is to put both function values in arrays and check using a for loop and an if statement when the sign of their difference changes. This can be done in a third array. • As always, layout matters: add a title, label the axes and lines.

Write the code in PYTHON and please provide the full code, thank you!

Answer 1

Here is te code for you problem.

# Importing Files

import numpy as np

import matplotlib.pyplot as plt

# assigning a an arbitrary value

a = 900

# Initializing functions

x = np.arange(-1000, 1000)

f = a * np.arange(-1000, 1000)      # ax

g = np.arange(-1000, 1000) ** 2     # x^2

# Plotting Functions

plt.plot(x, f, '-')

plt.plot(x, g, '-')

# calculating intersection points and displaying on graph as X

idx = np.argwhere(np.diff(np.sign(f - g))).flatten()

plt.plot(x[idx], f[idx], 'rx')

plt.show()

Here is the screenshot of the code if the indentation is not clear.

ovou # Importing Files import numpy as np import matplotlib.pyplot as plt # assigning a an arbitrary value a = 900 # Initializing functions x = np.arange(-1000, 1000) f = a * np.arange (-1000, 1000) # ax g = np.arange(-1000, 1000) ** 2 # x^2 # Plotting Functions plt.plot(x, f, '-') plt.plot(x, g, '-') # calculating intersection points and displaying on graph as X idx = np.argwhere(np.diff(np.sign(f - g))).flatten() plt.plot(x[idx], f[idx], 'rx') plt.show 11 14 15 16

Here is the output of the code.

Hope this helps.

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