Question

I have 4 functions

f= (x+1)*cos(x)
g= x**2
h=x**3+sin(x)
k= exp(x)+1
how plot all of them In one single plot in python ?

Answer 1

To plot the four given functions on a single plot in Python, use the matplotlib and numpy libraries. Define a range for x, calculate each function's y values, plot all on the same graph, and show it using matplotlib's plot and show functions.

Step-by-step explanation:

To plot multiple functions on a single plot using Python, you can utilize the matplotlib library. Here's a step-by-step guide on how to plot the four given functions: f= (x+1)*cos(x), g= x2, h=x3+sin(x), and k= exp(x)+1 on the same graph.

• First, import the necessary libraries: matplotlib.pyplot for plotting and numpy for mathematical functions and a range of x values.
• Define a range for the x values using numpy.linspace or numpy.arange.
• Compute the y values for each function using the defined x values.
• Use matplotlib.pyplot.plot to plot each set of x and y values.
• Include a legend to differentiate between the functions using matplotlib.pyplot.legend.
• Finally, show the plot with matplotlib.pyplot.show.

Here's sample code to plot the functions:

import matplotlib.pyplot as plt
import numpy as np

x = np.linspace(-10, 10, 400)
f = (x + 1) * np.cos(x)
g = x**2
h = x**3 + np.sin(x)
k = np.exp(x) + 1

plt.plot(x, f, label='f(x)')
plt.plot(x, g, label='g(x)')
plt.plot(x, h, label='h(x)')
plt.plot(x, k, label='k(x)')
plt.legend()
plt.show()