# How to plot multiple periods using pyplot?

## Question:

everyone!

I’m learning about signals now, but I’m having a tough time trying to plot more than one period using pyplot. I don’t know if the problem is with the mathematical part or with the code itself. I think this is a silly question, but any help would be great!

``````import numpy as np
import matplotlib.pyplot as plt

def function(t):
return t**2

# Fundamental Period and Frequency:
T = 2*np.pi
w = 2*np.pi/T

# Defining the limits and the x values(in our case, time):
inferior_limit, superior_limit = -np.pi, np.pi
time_values = np.linspace(inferior_limit, superior_limit, 1000)

# Desired function plot:
plt.style.use('bmh')
plt.plot(time_values, function(time_values), color='k')
plt.show()
``````

This is what is begin plot:

And this is what I would like to plot:

The main problem here is that `t²` is not a periodic function. The graph of the function you want is `(((t + π) % (2π)) - π)²` (graph).

You can implement that in the `function` function as:

``````def function(t):
return (((t + np.pi) % (2*np.pi)) - np.pi)**2
``````

Just changing that should give the output:

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