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pythonmatplotlibgraph

graph functions with range in python

It is my first question on stackoverflow, if I am missing some data, they tell me, What I need is to create a function graph with the python language but I do not find information on how to do it, I find how to make the graphs but not the limits of the functions

What I need to graph in python is similar to this function with the ranges enter image description here
This is the function

       { V₁x             0 ≤ x < a
       { V₁x - q(x-a)/2  a ≤ x ≤ a+l  # probably it's q(x-a)²/2
M(x) = { V₂(L-x)         a+l < x ≤ L
       { 0               otherwise



from matplotlib import pyplot as plt
x1 = [40, 50, 60, 70, 80, 90, 100]
y1 = [40, 50, 60, 70, 80, 90, 100]
plt.plot(x1, y1)
plt.xlabel('Like Geeks X Axis')
plt.ylabel('Like Geeks Y Axis')
axes = plt.axes()
axes.set_xlim([4, 8])
axes.set_ylim([-0.5, 2.5])
plt.show()
Solution

  • I think you can just create a function that reproduces your mathematical formulation and then get the ys using that function.

    If you need your code to be generic then do it like this:

    from matplotlib import pyplot as plt


def create_function(V1, V2, a, l, q, L):
    def f(x):
        if x >= 0 and x < a:
            return V1 * x
        elif x >= a and x <= a + l:
            return V2 * x - q * (x - l)
        elif x > a + l and x <= L:
            return V2 * (L - x)
        return 0

    return f


f = create_function(1, 2, 1, 2, 0.5, 5)

x1 = list(range(15))
y1 = list(map(f, x1))

plt.plot(x1, y1)
plt.xlabel("Like Geeks X Axis")
plt.ylabel("Like Geeks Y Axis")
plt.show()

    This way you have a generic function create_function that returns the function from your image with any parameter choice