python - How to Plot realistic curves using Scipy -

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my python program able plot graphs it's curves unrealistic.

for example : enter image description here

how can smooth-en graph using scipy? have seen previous tutorials regarding matter tended use numpy , arange() features. since program doesn't derive points plotted numpy think it's features useless in scenario.

import tkinter tk import ttk import sympy import matplotlib.pyplot plt  x = sympy.symbols('x')  class interface(ttk.frame):     def __init__(self,parent=none):         ttk.frame.__init__(self,parent)         self.parent = parent         self.initui()      def initui(self):         self.x_from_1 = ttk.label(self.parent, text= ' x values should : ')         self.x_from_2 = ttk.label(self.parent, text = ' : ')         self.x_from_1_inp = ttk.entry(self.parent)         self.x_from_2_inp = ttk.entry(self.parent)          self.equation_label = ttk.label(self.parent,text = 'equation : ')         self.equation = ttk.entry(self.parent)          self.submit = ttk.button(self.parent,text='plot',command= self.plot)  # grid allocations here         self.x_from_1.grid(column=0,row=0)         self.x_from_2.grid(column=5,row=0)         self.x_from_1_inp.grid(column=1,row=0)         self.x_from_2_inp.grid(column=10,row=0)          self.equation_label.grid(column = 0,row=3)         self.equation.grid(column=1,row=3,ipadx= 35)          self.submit.grid(column=10,row=5) # grid allocations end here       def plot(self):         x_vals = range(int(self.x_from_1_inp.get()),int(self.x_from_2_inp.get()))         eq = eval(self.equation.get())         self.prepare_table(x_vals,eq)         plt.plot(x_vals,self.y_values)         plt.grid(true)         plt.show()      def prepare_table(self,x_values,equation):         y = []         in x_values:             y.append(equation.subs(x,i))         self.y_values = y         return self.y_values  root = tk.tk() root.title('graphs') app = interface(root) app.mainloop()

use scipy.interpolate.interp1d: scipy.interpolate.interp1d

... scipy.interpolate import interp1d import numpy  class interface(ttk.frame):     ....     def plot(self):         x_vals = range(int(self.x_from_1_inp.get()),int(self.x_from_2_inp.get()))         eq = eval(self.equation.get())         self.prepare_table(x_vals,eq)         f = interp1d(x_vals, self.y_values, kind='cubic')         x_new = numpy.linspace(x_vals[0], x_vals[-1], (x_vals[-1]-x_vals[0])*4)         plt.plot(x_new, f(x_new))         plt.grid(true)         plt.show()

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